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Finding the Fourth Proportional to 349,322.68, 523,972.92 and 96,618.40

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Solution

The fourth proportional to 349,322.68, 523,972.92 and 96,618.40 is: 144,924.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,322.68 : 523,972.92 = 96,618.40 : x
  2. Step 2: Convert to fraction form
    349,322.68/523,972.92 = 96,618.40/x
  3. Step 3: Cross multiply
    349,322.68x = 523,972.92 × 96,618.40
  4. Step 4: Simplify right side
    349,322.68x = 50,625,425,173.73
  5. Step 5: Solve for x
    x = 50,625,425,173.73/349,322.68
  6. Step 6: Final answer
    x = 144,924.53

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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.