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Finding the Fourth Proportional to 457,934.38, 631,219.51 and 360,980.22

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Solution

The fourth proportional to 457,934.38, 631,219.51 and 360,980.22 is: 497,577.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,934.38 : 631,219.51 = 360,980.22 : x
  2. Step 2: Convert to fraction form
    457,934.38/631,219.51 = 360,980.22/x
  3. Step 3: Cross multiply
    457,934.38x = 631,219.51 × 360,980.22
  4. Step 4: Simplify right side
    457,934.38x = 227,857,758,375.88
  5. Step 5: Solve for x
    x = 227,857,758,375.88/457,934.38
  6. Step 6: Final answer
    x = 497,577.32

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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.