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Finding the Fourth Proportional to 513,743.70, 708,941.16 and 284,296.88

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Solution

The fourth proportional to 513,743.70, 708,941.16 and 284,296.88 is: 392,315.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,743.70 : 708,941.16 = 284,296.88 : x
  2. Step 2: Convert to fraction form
    513,743.70/708,941.16 = 284,296.88/x
  3. Step 3: Cross multiply
    513,743.70x = 708,941.16 × 284,296.88
  4. Step 4: Simplify right side
    513,743.70x = 201,549,759,891.58
  5. Step 5: Solve for x
    x = 201,549,759,891.58/513,743.70
  6. Step 6: Final answer
    x = 392,315.78

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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.