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Finding the Fourth Proportional to 349,252.26, 523,987.77 and 146,954.76

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Solution

The fourth proportional to 349,252.26, 523,987.77 and 146,954.76 is: 220,478.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,252.26 : 523,987.77 = 146,954.76 : x
  2. Step 2: Convert to fraction form
    349,252.26/523,987.77 = 146,954.76/x
  3. Step 3: Cross multiply
    349,252.26x = 523,987.77 × 146,954.76
  4. Step 4: Simplify right side
    349,252.26x = 77,002,496,983.29
  5. Step 5: Solve for x
    x = 77,002,496,983.29/349,252.26
  6. Step 6: Final answer
    x = 220,478.16

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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.