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Finding the Fourth Proportional to 375,026.96, 517,538.57 and 202,944.90

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Solution

The fourth proportional to 375,026.96, 517,538.57 and 202,944.90 is: 280,064.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,026.96 : 517,538.57 = 202,944.90 : x
  2. Step 2: Convert to fraction form
    375,026.96/517,538.57 = 202,944.90/x
  3. Step 3: Cross multiply
    375,026.96x = 517,538.57 × 202,944.90
  4. Step 4: Simplify right side
    375,026.96x = 105,031,812,320.07
  5. Step 5: Solve for x
    x = 105,031,812,320.07/375,026.96
  6. Step 6: Final answer
    x = 280,064.70

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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.