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Finding the Fourth Proportional to 512,680.86, 769,130.33 and 175,631.04

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Solution

The fourth proportional to 512,680.86, 769,130.33 and 175,631.04 is: 263,483.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,680.86 : 769,130.33 = 175,631.04 : x
  2. Step 2: Convert to fraction form
    512,680.86/769,130.33 = 175,631.04/x
  3. Step 3: Cross multiply
    512,680.86x = 769,130.33 × 175,631.04
  4. Step 4: Simplify right side
    512,680.86x = 135,083,158,875.29
  5. Step 5: Solve for x
    x = 135,083,158,875.29/512,680.86
  6. Step 6: Final answer
    x = 263,483.91

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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.