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Finding the Fourth Proportional to 457,821.38, 631,762.68 and 253,864.80

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Solution

The fourth proportional to 457,821.38, 631,762.68 and 253,864.80 is: 350,316.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,821.38 : 631,762.68 = 253,864.80 : x
  2. Step 2: Convert to fraction form
    457,821.38/631,762.68 = 253,864.80/x
  3. Step 3: Cross multiply
    457,821.38x = 631,762.68 × 253,864.80
  4. Step 4: Simplify right side
    457,821.38x = 160,382,306,405.66
  5. Step 5: Solve for x
    x = 160,382,306,405.66/457,821.38
  6. Step 6: Final answer
    x = 350,316.33

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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.