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Finding the Fourth Proportional to 470,233.20, 705,349.80 and 154,649.10

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Solution

The fourth proportional to 470,233.20, 705,349.80 and 154,649.10 is: 231,973.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,233.20 : 705,349.80 = 154,649.10 : x
  2. Step 2: Convert to fraction form
    470,233.20/705,349.80 = 154,649.10/x
  3. Step 3: Cross multiply
    470,233.20x = 705,349.80 × 154,649.10
  4. Step 4: Simplify right side
    470,233.20x = 109,081,711,755.18
  5. Step 5: Solve for x
    x = 109,081,711,755.18/470,233.20
  6. Step 6: Final answer
    x = 231,973.65

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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.