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Finding the Fourth Proportional to 467,938.20, 702,080.10 and 450,658.20

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Solution

The fourth proportional to 467,938.20, 702,080.10 and 450,658.20 is: 676,153.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,938.20 : 702,080.10 = 450,658.20 : x
  2. Step 2: Convert to fraction form
    467,938.20/702,080.10 = 450,658.20/x
  3. Step 3: Cross multiply
    467,938.20x = 702,080.10 × 450,658.20
  4. Step 4: Simplify right side
    467,938.20x = 316,398,154,121.82
  5. Step 5: Solve for x
    x = 316,398,154,121.82/467,938.20
  6. Step 6: Final answer
    x = 676,153.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.