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Finding the Fourth Proportional to 527,693.31, 728,215.67 and 285,981.83

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Solution

The fourth proportional to 527,693.31, 728,215.67 and 285,981.83 is: 394,654.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,693.31 : 728,215.67 = 285,981.83 : x
  2. Step 2: Convert to fraction form
    527,693.31/728,215.67 = 285,981.83/x
  3. Step 3: Cross multiply
    527,693.31x = 728,215.67 × 285,981.83
  4. Step 4: Simplify right side
    527,693.31x = 208,256,444,870.29
  5. Step 5: Solve for x
    x = 208,256,444,870.29/527,693.31
  6. Step 6: Final answer
    x = 394,654.32

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1.5x scale

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.