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Finding the Fourth Proportional to 338,238.64, 466,714.47 and 202,328.74

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Solution

The fourth proportional to 338,238.64, 466,714.47 and 202,328.74 is: 279,180.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,238.64 : 466,714.47 = 202,328.74 : x
  2. Step 2: Convert to fraction form
    338,238.64/466,714.47 = 202,328.74/x
  3. Step 3: Cross multiply
    338,238.64x = 466,714.47 × 202,328.74
  4. Step 4: Simplify right side
    338,238.64x = 94,429,750,654.87
  5. Step 5: Solve for x
    x = 94,429,750,654.87/338,238.64
  6. Step 6: Final answer
    x = 279,180.85

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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.