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Finding the Fourth Proportional to 516,215.60, 712,354.38 and 286,788.98

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Solution

The fourth proportional to 516,215.60, 712,354.38 and 286,788.98 is: 395,755.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,215.60 : 712,354.38 = 286,788.98 : x
  2. Step 2: Convert to fraction form
    516,215.60/712,354.38 = 286,788.98/x
  3. Step 3: Cross multiply
    516,215.60x = 712,354.38 × 286,788.98
  4. Step 4: Simplify right side
    516,215.60x = 204,295,386,038.73
  5. Step 5: Solve for x
    x = 204,295,386,038.73/516,215.60
  6. Step 6: Final answer
    x = 395,755.93

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Why These Related Problems?

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