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Finding the Fourth Proportional to 343,175.70, 514,523.55 and 202,862.10

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Solution

The fourth proportional to 343,175.70, 514,523.55 and 202,862.10 is: 304,151.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,175.70 : 514,523.55 = 202,862.10 : x
  2. Step 2: Convert to fraction form
    343,175.70/514,523.55 = 202,862.10/x
  3. Step 3: Cross multiply
    343,175.70x = 514,523.55 × 202,862.10
  4. Step 4: Simplify right side
    343,175.70x = 104,377,327,852.46
  5. Step 5: Solve for x
    x = 104,377,327,852.46/343,175.70
  6. Step 6: Final answer
    x = 304,151.28

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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.