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Finding the Fourth Proportional to 359,367.60, 538,468.20 and 226,009.20

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Solution

The fourth proportional to 359,367.60, 538,468.20 and 226,009.20 is: 338,647.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,367.60 : 538,468.20 = 226,009.20 : x
  2. Step 2: Convert to fraction form
    359,367.60/538,468.20 = 226,009.20/x
  3. Step 3: Cross multiply
    359,367.60x = 538,468.20 × 226,009.20
  4. Step 4: Simplify right side
    359,367.60x = 121,698,767,107.44
  5. Step 5: Solve for x
    x = 121,698,767,107.44/359,367.60
  6. Step 6: Final answer
    x = 338,647.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.