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Finding the Fourth Proportional to 527,188.06, 727,523.02 and 285,470.63

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Solution

The fourth proportional to 527,188.06, 727,523.02 and 285,470.63 is: 393,951.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,188.06 : 727,523.02 = 285,470.63 : x
  2. Step 2: Convert to fraction form
    527,188.06/727,523.02 = 285,470.63/x
  3. Step 3: Cross multiply
    527,188.06x = 727,523.02 × 285,470.63
  4. Step 4: Simplify right side
    527,188.06x = 207,686,454,306.34
  5. Step 5: Solve for x
    x = 207,686,454,306.34/527,188.06
  6. Step 6: Final answer
    x = 393,951.36

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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.