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Finding the Fourth Proportional to 728,983.91, 1,005,978.38 and 406,685.72

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Solution

The fourth proportional to 728,983.91, 1,005,978.38 and 406,685.72 is: 561,215.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,983.91 : 1,005,978.38 = 406,685.72 : x
  2. Step 2: Convert to fraction form
    728,983.91/1,005,978.38 = 406,685.72/x
  3. Step 3: Cross multiply
    728,983.91x = 1,005,978.38 × 406,685.72
  4. Step 4: Simplify right side
    728,983.91x = 409,117,034,711.41
  5. Step 5: Solve for x
    x = 409,117,034,711.41/728,983.91
  6. Step 6: Final answer
    x = 561,215.46

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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.