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Finding the Fourth Proportional to 468,502.20, 646,532.82 and 253,642.14

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Solution

The fourth proportional to 468,502.20, 646,532.82 and 253,642.14 is: 350,026.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,502.20 : 646,532.82 = 253,642.14 : x
  2. Step 2: Convert to fraction form
    468,502.20/646,532.82 = 253,642.14/x
  3. Step 3: Cross multiply
    468,502.20x = 646,532.82 × 253,642.14
  4. Step 4: Simplify right side
    468,502.20x = 163,987,968,045.04
  5. Step 5: Solve for x
    x = 163,987,968,045.04/468,502.20
  6. Step 6: Final answer
    x = 350,026.04

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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.