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Finding the Fourth Proportional to 468,035.80, 702,053.70 and 391,928.20

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Solution

The fourth proportional to 468,035.80, 702,053.70 and 391,928.20 is: 587,892.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,035.80 : 702,053.70 = 391,928.20 : x
  2. Step 2: Convert to fraction form
    468,035.80/702,053.70 = 391,928.20/x
  3. Step 3: Cross multiply
    468,035.80x = 702,053.70 × 391,928.20
  4. Step 4: Simplify right side
    468,035.80x = 275,154,642,944.34
  5. Step 5: Solve for x
    x = 275,154,642,944.34/468,035.80
  6. Step 6: Final answer
    x = 587,892.30

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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.