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Finding the Fourth Proportional to 320,029.24, 480,042.10 and 130,488.86

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Solution

The fourth proportional to 320,029.24, 480,042.10 and 130,488.86 is: 195,732.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,029.24 : 480,042.10 = 130,488.86 : x
  2. Step 2: Convert to fraction form
    320,029.24/480,042.10 = 130,488.86/x
  3. Step 3: Cross multiply
    320,029.24x = 480,042.10 × 130,488.86
  4. Step 4: Simplify right side
    320,029.24x = 62,640,146,381.01
  5. Step 5: Solve for x
    x = 62,640,146,381.01/320,029.24
  6. Step 6: Final answer
    x = 195,732.57

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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.