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Finding the Fourth Proportional to 359,284.80, 495,816.56 and 198,146.40

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Solution

The fourth proportional to 359,284.80, 495,816.56 and 198,146.40 is: 273,443.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,284.80 : 495,816.56 = 198,146.40 : x
  2. Step 2: Convert to fraction form
    359,284.80/495,816.56 = 198,146.40/x
  3. Step 3: Cross multiply
    359,284.80x = 495,816.56 × 198,146.40
  4. Step 4: Simplify right side
    359,284.80x = 98,244,266,424.38
  5. Step 5: Solve for x
    x = 98,244,266,424.38/359,284.80
  6. Step 6: Final answer
    x = 273,443.98

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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.