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Finding the Fourth Proportional to 338,398.71, 466,990.20 and 202,438.37

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Solution

The fourth proportional to 338,398.71, 466,990.20 and 202,438.37 is: 279,364.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,398.71 : 466,990.20 = 202,438.37 : x
  2. Step 2: Convert to fraction form
    338,398.71/466,990.20 = 202,438.37/x
  3. Step 3: Cross multiply
    338,398.71x = 466,990.20 × 202,438.37
  4. Step 4: Simplify right side
    338,398.71x = 94,536,732,559.02
  5. Step 5: Solve for x
    x = 94,536,732,559.02/338,398.71
  6. Step 6: Final answer
    x = 279,364.93

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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.