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Finding the Fourth Proportional to 642,114.52, 886,124.56 and 387,416.50

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Solution

The fourth proportional to 642,114.52, 886,124.56 and 387,416.50 is: 534,638.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,114.52 : 886,124.56 = 387,416.50 : x
  2. Step 2: Convert to fraction form
    642,114.52/886,124.56 = 387,416.50/x
  3. Step 3: Cross multiply
    642,114.52x = 886,124.56 × 387,416.50
  4. Step 4: Simplify right side
    642,114.52x = 343,299,275,599.24
  5. Step 5: Solve for x
    x = 343,299,275,599.24/642,114.52
  6. Step 6: Final answer
    x = 534,638.71

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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.