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Finding the Fourth Proportional to 284,421.90, 426,517.65 and 97,337.10

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Solution

The fourth proportional to 284,421.90, 426,517.65 and 97,337.10 is: 145,966.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,421.90 : 426,517.65 = 97,337.10 : x
  2. Step 2: Convert to fraction form
    284,421.90/426,517.65 = 97,337.10/x
  3. Step 3: Cross multiply
    284,421.90x = 426,517.65 × 97,337.10
  4. Step 4: Simplify right side
    284,421.90x = 41,515,991,149.82
  5. Step 5: Solve for x
    x = 41,515,991,149.82/284,421.90
  6. Step 6: Final answer
    x = 145,966.23

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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.