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Finding the Fourth Proportional to 359,406.96, 495,973.68 and 198,262.14

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Solution

The fourth proportional to 359,406.96, 495,973.68 and 198,262.14 is: 273,597.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,406.96 : 495,973.68 = 198,262.14 : x
  2. Step 2: Convert to fraction form
    359,406.96/495,973.68 = 198,262.14/x
  3. Step 3: Cross multiply
    359,406.96x = 495,973.68 × 198,262.14
  4. Step 4: Simplify right side
    359,406.96x = 98,332,803,180.48
  5. Step 5: Solve for x
    x = 98,332,803,180.48/359,406.96
  6. Step 6: Final answer
    x = 273,597.38

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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.