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Finding the Fourth Proportional to 359,125.57, 495,596.64 and 197,986.40

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Solution

The fourth proportional to 359,125.57, 495,596.64 and 197,986.40 is: 273,223.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,125.57 : 495,596.64 = 197,986.40 : x
  2. Step 2: Convert to fraction form
    359,125.57/495,596.64 = 197,986.40/x
  3. Step 3: Cross multiply
    359,125.57x = 495,596.64 × 197,986.40
  4. Step 4: Simplify right side
    359,125.57x = 98,121,394,605.70
  5. Step 5: Solve for x
    x = 98,121,394,605.70/359,125.57
  6. Step 6: Final answer
    x = 273,223.08

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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.