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Finding the Fourth Proportional to 349,158.80, 523,727.81 and 96,454.50

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Solution

The fourth proportional to 349,158.80, 523,727.81 and 96,454.50 is: 144,678.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,158.80 : 523,727.81 = 96,454.50 : x
  2. Step 2: Convert to fraction form
    349,158.80/523,727.81 = 96,454.50/x
  3. Step 3: Cross multiply
    349,158.80x = 523,727.81 × 96,454.50
  4. Step 4: Simplify right side
    349,158.80x = 50,515,901,965.10
  5. Step 5: Solve for x
    x = 50,515,901,965.10/349,158.80
  6. Step 6: Final answer
    x = 144,678.87

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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.