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Finding the Fourth Proportional to 728,804.70, 1,005,752.02 and 406,506.50

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Solution

The fourth proportional to 728,804.70, 1,005,752.02 and 406,506.50 is: 560,979.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,804.70 : 1,005,752.02 = 406,506.50 : x
  2. Step 2: Convert to fraction form
    728,804.70/1,005,752.02 = 406,506.50/x
  3. Step 3: Cross multiply
    728,804.70x = 1,005,752.02 × 406,506.50
  4. Step 4: Simplify right side
    728,804.70x = 408,844,733,518.13
  5. Step 5: Solve for x
    x = 408,844,733,518.13/728,804.70
  6. Step 6: Final answer
    x = 560,979.83

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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.