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Finding the Fourth Proportional to 728,778.94, 1,005,712.34 and 406,488.79

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Solution

The fourth proportional to 728,778.94, 1,005,712.34 and 406,488.79 is: 560,953.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,778.94 : 1,005,712.34 = 406,488.79 : x
  2. Step 2: Convert to fraction form
    728,778.94/1,005,712.34 = 406,488.79/x
  3. Step 3: Cross multiply
    728,778.94x = 1,005,712.34 × 406,488.79
  4. Step 4: Simplify right side
    728,778.94x = 408,810,791,399.37
  5. Step 5: Solve for x
    x = 408,810,791,399.37/728,778.94
  6. Step 6: Final answer
    x = 560,953.08

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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.