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Finding the Fourth Proportional to 755,728.60, 1,042,858.16 and 416,196.86

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Solution

The fourth proportional to 755,728.60, 1,042,858.16 and 416,196.86 is: 574,325.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    755,728.60 : 1,042,858.16 = 416,196.86 : x
  2. Step 2: Convert to fraction form
    755,728.60/1,042,858.16 = 416,196.86/x
  3. Step 3: Cross multiply
    755,728.60x = 1,042,858.16 × 416,196.86
  4. Step 4: Simplify right side
    755,728.60x = 434,034,291,617.38
  5. Step 5: Solve for x
    x = 434,034,291,617.38/755,728.60
  6. Step 6: Final answer
    x = 574,325.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.