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Finding the Fourth Proportional to 314,011.92, 471,217.68 and 114,312.90

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Solution

The fourth proportional to 314,011.92, 471,217.68 and 114,312.90 is: 171,542.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,011.92 : 471,217.68 = 114,312.90 : x
  2. Step 2: Convert to fraction form
    314,011.92/471,217.68 = 114,312.90/x
  3. Step 3: Cross multiply
    314,011.92x = 471,217.68 × 114,312.90
  4. Step 4: Simplify right side
    314,011.92x = 53,866,259,532.07
  5. Step 5: Solve for x
    x = 53,866,259,532.07/314,011.92
  6. Step 6: Final answer
    x = 171,542.09

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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.