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Finding the Fourth Proportional to 755,600, 1,042,703.52 and 416,059.52

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Solution

The fourth proportional to 755,600, 1,042,703.52 and 416,059.52 is: 574,148.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    755,600 : 1,042,703.52 = 416,059.52 : x
  2. Step 2: Convert to fraction form
    755,600/1,042,703.52 = 416,059.52/x
  3. Step 3: Cross multiply
    755,600x = 1,042,703.52 × 416,059.52
  4. Step 4: Simplify right side
    755,600x = 433,826,726,033.51
  5. Step 5: Solve for x
    x = 433,826,726,033.51/755,600
  6. Step 6: Final answer
    x = 574,148.66

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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.