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Finding the Fourth Proportional to 357,711.68, 493,631.88 and 202,648.52

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Solution

The fourth proportional to 357,711.68, 493,631.88 and 202,648.52 is: 279,649.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,711.68 : 493,631.88 = 202,648.52 : x
  2. Step 2: Convert to fraction form
    357,711.68/493,631.88 = 202,648.52/x
  3. Step 3: Cross multiply
    357,711.68x = 493,631.88 × 202,648.52
  4. Step 4: Simplify right side
    357,711.68x = 100,033,769,906.82
  5. Step 5: Solve for x
    x = 100,033,769,906.82/357,711.68
  6. Step 6: Final answer
    x = 279,649.16

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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.