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Finding the Fourth Proportional to 381,002.65, 571,460.19 and 100,541.77

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Solution

The fourth proportional to 381,002.65, 571,460.19 and 100,541.77 is: 150,801.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,002.65 : 571,460.19 = 100,541.77 : x
  2. Step 2: Convert to fraction form
    381,002.65/571,460.19 = 100,541.77/x
  3. Step 3: Cross multiply
    381,002.65x = 571,460.19 × 100,541.77
  4. Step 4: Simplify right side
    381,002.65x = 57,455,618,987.14
  5. Step 5: Solve for x
    x = 57,455,618,987.14/381,002.65
  6. Step 6: Final answer
    x = 150,801.10

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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.