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Finding the Fourth Proportional to 338,842.40, 467,524.01 and 202,824.64

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Solution

The fourth proportional to 338,842.40, 467,524.01 and 202,824.64 is: 279,851.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,842.40 : 467,524.01 = 202,824.64 : x
  2. Step 2: Convert to fraction form
    338,842.40/467,524.01 = 202,824.64/x
  3. Step 3: Cross multiply
    338,842.40x = 467,524.01 × 202,824.64
  4. Step 4: Simplify right side
    338,842.40x = 94,825,388,357.86
  5. Step 5: Solve for x
    x = 94,825,388,357.86/338,842.40
  6. Step 6: Final answer
    x = 279,851.01

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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.