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Finding the Fourth Proportional to 527,053.96, 727,340.16 and 285,341.59

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Solution

The fourth proportional to 527,053.96, 727,340.16 and 285,341.59 is: 393,774.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,053.96 : 727,340.16 = 285,341.59 : x
  2. Step 2: Convert to fraction form
    527,053.96/727,340.16 = 285,341.59/x
  3. Step 3: Cross multiply
    527,053.96x = 727,340.16 × 285,341.59
  4. Step 4: Simplify right side
    527,053.96x = 207,540,397,725.25
  5. Step 5: Solve for x
    x = 207,540,397,725.25/527,053.96
  6. Step 6: Final answer
    x = 393,774.48

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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.