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Finding the Fourth Proportional to 274,632.40, 411,948.60 and 97,339.60

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Solution

The fourth proportional to 274,632.40, 411,948.60 and 97,339.60 is: 146,009.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,632.40 : 411,948.60 = 97,339.60 : x
  2. Step 2: Convert to fraction form
    274,632.40/411,948.60 = 97,339.60/x
  3. Step 3: Cross multiply
    274,632.40x = 411,948.60 × 97,339.60
  4. Step 4: Simplify right side
    274,632.40x = 40,098,911,944.56
  5. Step 5: Solve for x
    x = 40,098,911,944.56/274,632.40
  6. Step 6: Final answer
    x = 146,009.40

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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.