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Finding the Fourth Proportional to 728,745.96, 1,005,670.95 and 406,447.77

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Solution

The fourth proportional to 728,745.96, 1,005,670.95 and 406,447.77 is: 560,898.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,745.96 : 1,005,670.95 = 406,447.77 : x
  2. Step 2: Convert to fraction form
    728,745.96/1,005,670.95 = 406,447.77/x
  3. Step 3: Cross multiply
    728,745.96x = 1,005,670.95 × 406,447.77
  4. Step 4: Simplify right side
    728,745.96x = 408,752,714,981.28
  5. Step 5: Solve for x
    x = 408,752,714,981.28/728,745.96
  6. Step 6: Final answer
    x = 560,898.77

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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.