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Finding the Fourth Proportional to 314,044.59, 470,691.72 and 114,130.92

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Solution

The fourth proportional to 314,044.59, 470,691.72 and 114,130.92 is: 171,060.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,044.59 : 470,691.72 = 114,130.92 : x
  2. Step 2: Convert to fraction form
    314,044.59/470,691.72 = 114,130.92/x
  3. Step 3: Cross multiply
    314,044.59x = 470,691.72 × 114,130.92
  4. Step 4: Simplify right side
    314,044.59x = 53,720,479,039.98
  5. Step 5: Solve for x
    x = 53,720,479,039.98/314,044.59
  6. Step 6: Final answer
    x = 171,060.04

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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.