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Finding the Fourth Proportional to 359,227, 495,754.14 and 198,116.32

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Solution

The fourth proportional to 359,227, 495,754.14 and 198,116.32 is: 273,412.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,227 : 495,754.14 = 198,116.32 : x
  2. Step 2: Convert to fraction form
    359,227/495,754.14 = 198,116.32/x
  3. Step 3: Cross multiply
    359,227x = 495,754.14 × 198,116.32
  4. Step 4: Simplify right side
    359,227x = 98,216,985,841.56
  5. Step 5: Solve for x
    x = 98,216,985,841.56/359,227
  6. Step 6: Final answer
    x = 273,412.04

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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.