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Finding the Fourth Proportional to 359,407.14, 495,980.46 and 198,272.22

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Solution

The fourth proportional to 359,407.14, 495,980.46 and 198,272.22 is: 273,614.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,407.14 : 495,980.46 = 198,272.22 : x
  2. Step 2: Convert to fraction form
    359,407.14/495,980.46 = 198,272.22/x
  3. Step 3: Cross multiply
    359,407.14x = 495,980.46 × 198,272.22
  4. Step 4: Simplify right side
    359,407.14x = 98,339,146,880.82
  5. Step 5: Solve for x
    x = 98,339,146,880.82/359,407.14
  6. Step 6: Final answer
    x = 273,614.90

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Double scale
Find fourth proportional to 359,408.14, 495,981.84 and 198,273.22
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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.