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Finding the Fourth Proportional to 359,235.80, 495,748.94 and 198,097.24

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Solution

The fourth proportional to 359,235.80, 495,748.94 and 198,097.24 is: 273,376.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,235.80 : 495,748.94 = 198,097.24 : x
  2. Step 2: Convert to fraction form
    359,235.80/495,748.94 = 198,097.24/x
  3. Step 3: Cross multiply
    359,235.80x = 495,748.94 × 198,097.24
  4. Step 4: Simplify right side
    359,235.80x = 98,206,496,746.93
  5. Step 5: Solve for x
    x = 98,206,496,746.93/359,235.80
  6. Step 6: Final answer
    x = 273,376.14

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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.