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Finding the Fourth Proportional to 467,209.70, 700,977.18 and 147,410.94

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Solution

The fourth proportional to 467,209.70, 700,977.18 and 147,410.94 is: 221,167.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,209.70 : 700,977.18 = 147,410.94 : x
  2. Step 2: Convert to fraction form
    467,209.70/700,977.18 = 147,410.94/x
  3. Step 3: Cross multiply
    467,209.70x = 700,977.18 × 147,410.94
  4. Step 4: Simplify right side
    467,209.70x = 103,331,705,022.35
  5. Step 5: Solve for x
    x = 103,331,705,022.35/467,209.70
  6. Step 6: Final answer
    x = 221,167.72

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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.