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Finding the Fourth Proportional to 527,511.47, 727,966.55 and 285,794.06

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Solution

The fourth proportional to 527,511.47, 727,966.55 and 285,794.06 is: 394,396.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,511.47 : 727,966.55 = 285,794.06 : x
  2. Step 2: Convert to fraction form
    527,511.47/727,966.55 = 285,794.06/x
  3. Step 3: Cross multiply
    527,511.47x = 727,966.55 × 285,794.06
  4. Step 4: Simplify right side
    527,511.47x = 208,048,512,139.55
  5. Step 5: Solve for x
    x = 208,048,512,139.55/527,511.47
  6. Step 6: Final answer
    x = 394,396.19

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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.