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Finding the Fourth Proportional to 470,892.70, 706,306.65 and 151,039.90

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Solution

The fourth proportional to 470,892.70, 706,306.65 and 151,039.90 is: 226,549.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,892.70 : 706,306.65 = 151,039.90 : x
  2. Step 2: Convert to fraction form
    470,892.70/706,306.65 = 151,039.90/x
  3. Step 3: Cross multiply
    470,892.70x = 706,306.65 × 151,039.90
  4. Step 4: Simplify right side
    470,892.70x = 106,680,485,785.34
  5. Step 5: Solve for x
    x = 106,680,485,785.34/470,892.70
  6. Step 6: Final answer
    x = 226,549.46

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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.