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Finding the Fourth Proportional to 375,024.96, 517,535.81 and 202,942.90

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Solution

The fourth proportional to 375,024.96, 517,535.81 and 202,942.90 is: 280,061.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,024.96 : 517,535.81 = 202,942.90 : x
  2. Step 2: Convert to fraction form
    375,024.96/517,535.81 = 202,942.90/x
  3. Step 3: Cross multiply
    375,024.96x = 517,535.81 × 202,942.90
  4. Step 4: Simplify right side
    375,024.96x = 105,030,218,135.25
  5. Step 5: Solve for x
    x = 105,030,218,135.25/375,024.96
  6. Step 6: Final answer
    x = 280,061.94

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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.