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Finding the Fourth Proportional to 527,501.66, 727,952.46 and 285,785.90

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Solution

The fourth proportional to 527,501.66, 727,952.46 and 285,785.90 is: 394,384.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,501.66 : 727,952.46 = 285,785.90 : x
  2. Step 2: Convert to fraction form
    527,501.66/727,952.46 = 285,785.90/x
  3. Step 3: Cross multiply
    527,501.66x = 727,952.46 × 285,785.90
  4. Step 4: Simplify right side
    527,501.66x = 208,038,548,938.31
  5. Step 5: Solve for x
    x = 208,038,548,938.31/527,501.66
  6. Step 6: Final answer
    x = 394,384.63

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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.