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Finding the Fourth Proportional to 381,657.60, 572,313.60 and 144,921.60

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Solution

The fourth proportional to 381,657.60, 572,313.60 and 144,921.60 is: 217,316.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,657.60 : 572,313.60 = 144,921.60 : x
  2. Step 2: Convert to fraction form
    381,657.60/572,313.60 = 144,921.60/x
  3. Step 3: Cross multiply
    381,657.60x = 572,313.60 × 144,921.60
  4. Step 4: Simplify right side
    381,657.60x = 82,940,602,613.76
  5. Step 5: Solve for x
    x = 82,940,602,613.76/381,657.60
  6. Step 6: Final answer
    x = 217,316.79

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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.