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Finding the Fourth Proportional to 514,882.80, 710,538.48 and 313,678.80

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Solution

The fourth proportional to 514,882.80, 710,538.48 and 313,678.80 is: 432,876.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,882.80 : 710,538.48 = 313,678.80 : x
  2. Step 2: Convert to fraction form
    514,882.80/710,538.48 = 313,678.80/x
  3. Step 3: Cross multiply
    514,882.80x = 710,538.48 × 313,678.80
  4. Step 4: Simplify right side
    514,882.80x = 222,880,857,760.22
  5. Step 5: Solve for x
    x = 222,880,857,760.22/514,882.80
  6. Step 6: Final answer
    x = 432,876.88

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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.