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Finding the Fourth Proportional to 359,417.76, 495,975.24 and 198,273.12

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Solution

The fourth proportional to 359,417.76, 495,975.24 and 198,273.12 is: 273,605.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,417.76 : 495,975.24 = 198,273.12 : x
  2. Step 2: Convert to fraction form
    359,417.76/495,975.24 = 198,273.12/x
  3. Step 3: Cross multiply
    359,417.76x = 495,975.24 × 198,273.12
  4. Step 4: Simplify right side
    359,417.76x = 98,338,558,277.55
  5. Step 5: Solve for x
    x = 98,338,558,277.55/359,417.76
  6. Step 6: Final answer
    x = 273,605.17

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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.