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Finding the Fourth Proportional to 359,125.56, 495,596.70 and 197,986.50

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Solution

The fourth proportional to 359,125.56, 495,596.70 and 197,986.50 is: 273,223.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,125.56 : 495,596.70 = 197,986.50 : x
  2. Step 2: Convert to fraction form
    359,125.56/495,596.70 = 197,986.50/x
  3. Step 3: Cross multiply
    359,125.56x = 495,596.70 × 197,986.50
  4. Step 4: Simplify right side
    359,125.56x = 98,121,456,044.55
  5. Step 5: Solve for x
    x = 98,121,456,044.55/359,125.56
  6. Step 6: Final answer
    x = 273,223.26

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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.