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Finding the Fourth Proportional to 381,864.13, 572,796.16 and 97,555.29

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Solution

The fourth proportional to 381,864.13, 572,796.16 and 97,555.29 is: 146,332.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,864.13 : 572,796.16 = 97,555.29 : x
  2. Step 2: Convert to fraction form
    381,864.13/572,796.16 = 97,555.29/x
  3. Step 3: Cross multiply
    381,864.13x = 572,796.16 × 97,555.29
  4. Step 4: Simplify right side
    381,864.13x = 55,879,295,499.69
  5. Step 5: Solve for x
    x = 55,879,295,499.69/381,864.13
  6. Step 6: Final answer
    x = 146,332.93

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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.