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Finding the Fourth Proportional to 314,046.59, 470,694.72 and 114,132.92

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Solution

The fourth proportional to 314,046.59, 470,694.72 and 114,132.92 is: 171,063.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,046.59 : 470,694.72 = 114,132.92 : x
  2. Step 2: Convert to fraction form
    314,046.59/470,694.72 = 114,132.92/x
  3. Step 3: Cross multiply
    314,046.59x = 470,694.72 × 114,132.92
  4. Step 4: Simplify right side
    314,046.59x = 53,721,762,822.18
  5. Step 5: Solve for x
    x = 53,721,762,822.18/314,046.59
  6. Step 6: Final answer
    x = 171,063.04

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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.