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Finding the Fourth Proportional to 728,764.77, 1,005,697.14 and 406,495.74

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Solution

The fourth proportional to 728,764.77, 1,005,697.14 and 406,495.74 is: 560,965.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,764.77 : 1,005,697.14 = 406,495.74 : x
  2. Step 2: Convert to fraction form
    728,764.77/1,005,697.14 = 406,495.74/x
  3. Step 3: Cross multiply
    728,764.77x = 1,005,697.14 × 406,495.74
  4. Step 4: Simplify right side
    728,764.77x = 408,811,603,140.18
  5. Step 5: Solve for x
    x = 408,811,603,140.18/728,764.77
  6. Step 6: Final answer
    x = 560,965.10

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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.