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Finding the Fourth Proportional to 359,271.74, 495,788.10 and 198,141.68

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Solution

The fourth proportional to 359,271.74, 495,788.10 and 198,141.68 is: 273,431.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,271.74 : 495,788.10 = 198,141.68 : x
  2. Step 2: Convert to fraction form
    359,271.74/495,788.10 = 198,141.68/x
  3. Step 3: Cross multiply
    359,271.74x = 495,788.10 × 198,141.68
  4. Step 4: Simplify right side
    359,271.74x = 98,236,287,058.01
  5. Step 5: Solve for x
    x = 98,236,287,058.01/359,271.74
  6. Step 6: Final answer
    x = 273,431.71

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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.