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Finding the Fourth Proportional to 359,125.70, 495,596.81 and 197,986.46

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Solution

The fourth proportional to 359,125.70, 495,596.81 and 197,986.46 is: 273,223.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,125.70 : 495,596.81 = 197,986.46 : x
  2. Step 2: Convert to fraction form
    359,125.70/495,596.81 = 197,986.46/x
  3. Step 3: Cross multiply
    359,125.70x = 495,596.81 × 197,986.46
  4. Step 4: Simplify right side
    359,125.70x = 98,121,456,016.17
  5. Step 5: Solve for x
    x = 98,121,456,016.17/359,125.70
  6. Step 6: Final answer
    x = 273,223.16

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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.