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Finding the Fourth Proportional to 359,123.07, 495,593.19 and 197,983.91

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Solution

The fourth proportional to 359,123.07, 495,593.19 and 197,983.91 is: 273,219.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,123.07 : 495,593.19 = 197,983.91 : x
  2. Step 2: Convert to fraction form
    359,123.07/495,593.19 = 197,983.91/x
  3. Step 3: Cross multiply
    359,123.07x = 495,593.19 × 197,983.91
  4. Step 4: Simplify right side
    359,123.07x = 98,119,475,047.61
  5. Step 5: Solve for x
    x = 98,119,475,047.61/359,123.07
  6. Step 6: Final answer
    x = 273,219.64

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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.