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Finding the Fourth Proportional to 728,768.77, 1,005,702.66 and 406,499.74

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Solution

The fourth proportional to 728,768.77, 1,005,702.66 and 406,499.74 is: 560,970.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,768.77 : 1,005,702.66 = 406,499.74 : x
  2. Step 2: Convert to fraction form
    728,768.77/1,005,702.66 = 406,499.74/x
  3. Step 3: Cross multiply
    728,768.77x = 1,005,702.66 × 406,499.74
  4. Step 4: Simplify right side
    728,768.77x = 408,817,869,807.31
  5. Step 5: Solve for x
    x = 408,817,869,807.31/728,768.77
  6. Step 6: Final answer
    x = 560,970.62

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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.