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Finding the Fourth Proportional to 728,596.32, 1,005,468.24 and 406,327.20

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Solution

The fourth proportional to 728,596.32, 1,005,468.24 and 406,327.20 is: 560,734.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,596.32 : 1,005,468.24 = 406,327.20 : x
  2. Step 2: Convert to fraction form
    728,596.32/1,005,468.24 = 406,327.20/x
  3. Step 3: Cross multiply
    728,596.32x = 1,005,468.24 × 406,327.20
  4. Step 4: Simplify right side
    728,596.32x = 408,549,094,648.13
  5. Step 5: Solve for x
    x = 408,549,094,648.13/728,596.32
  6. Step 6: Final answer
    x = 560,734.50

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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.