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Finding the Fourth Proportional to 349,078.11, 523,543.65 and 159,484.65

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Solution

The fourth proportional to 349,078.11, 523,543.65 and 159,484.65 is: 239,193.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,078.11 : 523,543.65 = 159,484.65 : x
  2. Step 2: Convert to fraction form
    349,078.11/523,543.65 = 159,484.65/x
  3. Step 3: Cross multiply
    349,078.11x = 523,543.65 × 159,484.65
  4. Step 4: Simplify right side
    349,078.11x = 83,497,174,115.72
  5. Step 5: Solve for x
    x = 83,497,174,115.72/349,078.11
  6. Step 6: Final answer
    x = 239,193.39

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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.