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Finding the Fourth Proportional to 527,513.31, 727,969.07 and 285,795.89

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Solution

The fourth proportional to 527,513.31, 727,969.07 and 285,795.89 is: 394,398.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,513.31 : 727,969.07 = 285,795.89 : x
  2. Step 2: Convert to fraction form
    527,513.31/727,969.07 = 285,795.89/x
  3. Step 3: Cross multiply
    527,513.31x = 727,969.07 × 285,795.89
  4. Step 4: Simplify right side
    527,513.31x = 208,050,572,152.48
  5. Step 5: Solve for x
    x = 208,050,572,152.48/527,513.31
  6. Step 6: Final answer
    x = 394,398.72

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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.