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Finding the Fourth Proportional to 338,285.40, 466,833.81 and 202,319.33

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Solution

The fourth proportional to 338,285.40, 466,833.81 and 202,319.33 is: 279,200.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,285.40 : 466,833.81 = 202,319.33 : x
  2. Step 2: Convert to fraction form
    338,285.40/466,833.81 = 202,319.33/x
  3. Step 3: Cross multiply
    338,285.40x = 466,833.81 × 202,319.33
  4. Step 4: Simplify right side
    338,285.40x = 94,449,503,835.70
  5. Step 5: Solve for x
    x = 94,449,503,835.70/338,285.40
  6. Step 6: Final answer
    x = 279,200.65

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1.5x scale

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.