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Finding the Fourth Proportional to 470,233.10, 705,349.65 and 463,234.70

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Solution

The fourth proportional to 470,233.10, 705,349.65 and 463,234.70 is: 694,852.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,233.10 : 705,349.65 = 463,234.70 : x
  2. Step 2: Convert to fraction form
    470,233.10/705,349.65 = 463,234.70/x
  3. Step 3: Cross multiply
    470,233.10x = 705,349.65 × 463,234.70
  4. Step 4: Simplify right side
    470,233.10x = 326,742,433,512.86
  5. Step 5: Solve for x
    x = 326,742,433,512.86/470,233.10
  6. Step 6: Final answer
    x = 694,852.05

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.