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Finding the Fourth Proportional to 338,239.64, 466,715.85 and 202,329.74

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Solution

The fourth proportional to 338,239.64, 466,715.85 and 202,329.74 is: 279,182.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,239.64 : 466,715.85 = 202,329.74 : x
  2. Step 2: Convert to fraction form
    338,239.64/466,715.85 = 202,329.74/x
  3. Step 3: Cross multiply
    338,239.64x = 466,715.85 × 202,329.74
  4. Step 4: Simplify right side
    338,239.64x = 94,430,496,584.38
  5. Step 5: Solve for x
    x = 94,430,496,584.38/338,239.64
  6. Step 6: Final answer
    x = 279,182.23

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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.