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Finding the Fourth Proportional to 375,024.85, 517,535.65 and 202,942.80

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Solution

The fourth proportional to 375,024.85, 517,535.65 and 202,942.80 is: 280,061.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,024.85 : 517,535.65 = 202,942.80 : x
  2. Step 2: Convert to fraction form
    375,024.85/517,535.65 = 202,942.80/x
  3. Step 3: Cross multiply
    375,024.85x = 517,535.65 × 202,942.80
  4. Step 4: Simplify right side
    375,024.85x = 105,030,132,223.74
  5. Step 5: Solve for x
    x = 105,030,132,223.74/375,024.85
  6. Step 6: Final answer
    x = 280,061.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.