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Finding the Fourth Proportional to 527,797.06, 727,782.24 and 392,082.77

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Solution

The fourth proportional to 527,797.06, 727,782.24 and 392,082.77 is: 540,645.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,797.06 : 727,782.24 = 392,082.77 : x
  2. Step 2: Convert to fraction form
    527,797.06/727,782.24 = 392,082.77/x
  3. Step 3: Cross multiply
    527,797.06x = 727,782.24 × 392,082.77
  4. Step 4: Simplify right side
    527,797.06x = 285,350,878,435.46
  5. Step 5: Solve for x
    x = 285,350,878,435.46/527,797.06
  6. Step 6: Final answer
    x = 540,645.07

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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.