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Finding the Fourth Proportional to 755,617, 1,042,751.46 and 416,084.44

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Solution

The fourth proportional to 755,617, 1,042,751.46 and 416,084.44 is: 574,196.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    755,617 : 1,042,751.46 = 416,084.44 : x
  2. Step 2: Convert to fraction form
    755,617/1,042,751.46 = 416,084.44/x
  3. Step 3: Cross multiply
    755,617x = 1,042,751.46 × 416,084.44
  4. Step 4: Simplify right side
    755,617x = 433,872,657,293.28
  5. Step 5: Solve for x
    x = 433,872,657,293.28/755,617
  6. Step 6: Final answer
    x = 574,196.53

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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.