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Finding the Fourth Proportional to 381,834.56, 572,707.36 and 101,373.60

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Solution

The fourth proportional to 381,834.56, 572,707.36 and 101,373.60 is: 152,048.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,834.56 : 572,707.36 = 101,373.60 : x
  2. Step 2: Convert to fraction form
    381,834.56/572,707.36 = 101,373.60/x
  3. Step 3: Cross multiply
    381,834.56x = 572,707.36 × 101,373.60
  4. Step 4: Simplify right side
    381,834.56x = 58,057,406,829.70
  5. Step 5: Solve for x
    x = 58,057,406,829.70/381,834.56
  6. Step 6: Final answer
    x = 152,048.59

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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.