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Finding the Fourth Proportional to 728,763.77, 1,005,695.76 and 406,494.74

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Solution

The fourth proportional to 728,763.77, 1,005,695.76 and 406,494.74 is: 560,963.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,763.77 : 1,005,695.76 = 406,494.74 : x
  2. Step 2: Convert to fraction form
    728,763.77/1,005,695.76 = 406,494.74/x
  3. Step 3: Cross multiply
    728,763.77x = 1,005,695.76 × 406,494.74
  4. Step 4: Simplify right side
    728,763.77x = 408,810,031,451.82
  5. Step 5: Solve for x
    x = 408,810,031,451.82/728,763.77
  6. Step 6: Final answer
    x = 560,963.72

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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.