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Finding the Fourth Proportional to 457,272.80, 631,029.65 and 253,323.30

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Solution

The fourth proportional to 457,272.80, 631,029.65 and 253,323.30 is: 349,582.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,272.80 : 631,029.65 = 253,323.30 : x
  2. Step 2: Convert to fraction form
    457,272.80/631,029.65 = 253,323.30/x
  3. Step 3: Cross multiply
    457,272.80x = 631,029.65 × 253,323.30
  4. Step 4: Simplify right side
    457,272.80x = 159,854,513,335.85
  5. Step 5: Solve for x
    x = 159,854,513,335.85/457,272.80
  6. Step 6: Final answer
    x = 349,582.38

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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.