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Finding the Fourth Proportional to 359,258.20, 538,223.10 and 209,570.20

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Solution

The fourth proportional to 359,258.20, 538,223.10 and 209,570.20 is: 313,967.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,258.20 : 538,223.10 = 209,570.20 : x
  2. Step 2: Convert to fraction form
    359,258.20/538,223.10 = 209,570.20/x
  3. Step 3: Cross multiply
    359,258.20x = 538,223.10 × 209,570.20
  4. Step 4: Simplify right side
    359,258.20x = 112,795,522,711.62
  5. Step 5: Solve for x
    x = 112,795,522,711.62/359,258.20
  6. Step 6: Final answer
    x = 313,967.84

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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.