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Finding the Fourth Proportional to 308,534.20, 463,229.58 and 158,881.40

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Solution

The fourth proportional to 308,534.20, 463,229.58 and 158,881.40 is: 238,542.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,534.20 : 463,229.58 = 158,881.40 : x
  2. Step 2: Convert to fraction form
    308,534.20/463,229.58 = 158,881.40/x
  3. Step 3: Cross multiply
    308,534.20x = 463,229.58 × 158,881.40
  4. Step 4: Simplify right side
    308,534.20x = 73,598,564,191.81
  5. Step 5: Solve for x
    x = 73,598,564,191.81/308,534.20
  6. Step 6: Final answer
    x = 238,542.65

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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.