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Finding the Fourth Proportional to 642,213.38, 886,254.53 and 355,752.02

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Solution

The fourth proportional to 642,213.38, 886,254.53 and 355,752.02 is: 490,937.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,213.38 : 886,254.53 = 355,752.02 : x
  2. Step 2: Convert to fraction form
    642,213.38/886,254.53 = 355,752.02/x
  3. Step 3: Cross multiply
    642,213.38x = 886,254.53 × 355,752.02
  4. Step 4: Simplify right side
    642,213.38x = 315,286,833,071.62
  5. Step 5: Solve for x
    x = 315,286,833,071.62/642,213.38
  6. Step 6: Final answer
    x = 490,937.82

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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.