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Finding the Fourth Proportional to 381,426.14, 572,113.82 and 156,728.36

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Solution

The fourth proportional to 381,426.14, 572,113.82 and 156,728.36 is: 235,082.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,426.14 : 572,113.82 = 156,728.36 : x
  2. Step 2: Convert to fraction form
    381,426.14/572,113.82 = 156,728.36/x
  3. Step 3: Cross multiply
    381,426.14x = 572,113.82 × 156,728.36
  4. Step 4: Simplify right side
    381,426.14x = 89,666,460,741.94
  5. Step 5: Solve for x
    x = 89,666,460,741.94/381,426.14
  6. Step 6: Final answer
    x = 235,082.11

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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.