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Finding the Fourth Proportional to 470,003.40, 705,005.10 and 233,807.40

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Solution

The fourth proportional to 470,003.40, 705,005.10 and 233,807.40 is: 350,711.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,003.40 : 705,005.10 = 233,807.40 : x
  2. Step 2: Convert to fraction form
    470,003.40/705,005.10 = 233,807.40/x
  3. Step 3: Cross multiply
    470,003.40x = 705,005.10 × 233,807.40
  4. Step 4: Simplify right side
    470,003.40x = 164,835,409,417.74
  5. Step 5: Solve for x
    x = 164,835,409,417.74/470,003.40
  6. Step 6: Final answer
    x = 350,711.10

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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.