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Finding the Fourth Proportional to 349,385.14, 523,704 and 159,561.06

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Solution

The fourth proportional to 349,385.14, 523,704 and 159,561.06 is: 239,170.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,385.14 : 523,704 = 159,561.06 : x
  2. Step 2: Convert to fraction form
    349,385.14/523,704 = 159,561.06/x
  3. Step 3: Cross multiply
    349,385.14x = 523,704 × 159,561.06
  4. Step 4: Simplify right side
    349,385.14x = 83,562,765,366.24
  5. Step 5: Solve for x
    x = 83,562,765,366.24/349,385.14
  6. Step 6: Final answer
    x = 239,170.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.