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Finding the Fourth Proportional to 516,218.87, 712,430.17 and 312,319.87

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Solution

The fourth proportional to 516,218.87, 712,430.17 and 312,319.87 is: 431,030.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,218.87 : 712,430.17 = 312,319.87 : x
  2. Step 2: Convert to fraction form
    516,218.87/712,430.17 = 312,319.87/x
  3. Step 3: Cross multiply
    516,218.87x = 712,430.17 × 312,319.87
  4. Step 4: Simplify right side
    516,218.87x = 222,506,095,516.60
  5. Step 5: Solve for x
    x = 222,506,095,516.60/516,218.87
  6. Step 6: Final answer
    x = 431,030.53

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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.