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Finding the Fourth Proportional to 274,630.60, 411,945.90 and 97,143.40

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Solution

The fourth proportional to 274,630.60, 411,945.90 and 97,143.40 is: 145,715.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,630.60 : 411,945.90 = 97,143.40 : x
  2. Step 2: Convert to fraction form
    274,630.60/411,945.90 = 97,143.40/x
  3. Step 3: Cross multiply
    274,630.60x = 411,945.90 × 97,143.40
  4. Step 4: Simplify right side
    274,630.60x = 40,017,825,342.06
  5. Step 5: Solve for x
    x = 40,017,825,342.06/274,630.60
  6. Step 6: Final answer
    x = 145,715.10

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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.