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Finding the Fourth Proportional to 517,202.20, 713,572.88 and 313,187.90

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Solution

The fourth proportional to 517,202.20, 713,572.88 and 313,187.90 is: 432,098.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,202.20 : 713,572.88 = 313,187.90 : x
  2. Step 2: Convert to fraction form
    517,202.20/713,572.88 = 313,187.90/x
  3. Step 3: Cross multiply
    517,202.20x = 713,572.88 × 313,187.90
  4. Step 4: Simplify right side
    517,202.20x = 223,482,391,784.15
  5. Step 5: Solve for x
    x = 223,482,391,784.15/517,202.20
  6. Step 6: Final answer
    x = 432,098.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.