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Finding the Fourth Proportional to 349,154.96, 523,962.11 and 191,494.13

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Solution

The fourth proportional to 349,154.96, 523,962.11 and 191,494.13 is: 287,367.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,154.96 : 523,962.11 = 191,494.13 : x
  2. Step 2: Convert to fraction form
    349,154.96/523,962.11 = 191,494.13/x
  3. Step 3: Cross multiply
    349,154.96x = 523,962.11 × 191,494.13
  4. Step 4: Simplify right side
    349,154.96x = 100,335,668,407.41
  5. Step 5: Solve for x
    x = 100,335,668,407.41/349,154.96
  6. Step 6: Final answer
    x = 287,367.16

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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.