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Finding the Fourth Proportional to 274,575.76, 411,875.14 and 97,084.24

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Solution

The fourth proportional to 274,575.76, 411,875.14 and 97,084.24 is: 145,630.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,575.76 : 411,875.14 = 97,084.24 : x
  2. Step 2: Convert to fraction form
    274,575.76/411,875.14 = 97,084.24/x
  3. Step 3: Cross multiply
    274,575.76x = 411,875.14 × 97,084.24
  4. Step 4: Simplify right side
    274,575.76x = 39,986,584,941.79
  5. Step 5: Solve for x
    x = 39,986,584,941.79/274,575.76
  6. Step 6: Final answer
    x = 145,630.43

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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.