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Finding the Fourth Proportional to 516,357.27, 712,456.57 and 312,403.12

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Solution

The fourth proportional to 516,357.27, 712,456.57 and 312,403.12 is: 431,045.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,357.27 : 712,456.57 = 312,403.12 : x
  2. Step 2: Convert to fraction form
    516,357.27/712,456.57 = 312,403.12/x
  3. Step 3: Cross multiply
    516,357.27x = 712,456.57 × 312,403.12
  4. Step 4: Simplify right side
    516,357.27x = 222,573,655,332.50
  5. Step 5: Solve for x
    x = 222,573,655,332.50/516,357.27
  6. Step 6: Final answer
    x = 431,045.84

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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.