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Finding the Fourth Proportional to 359,114.94, 495,580.12 and 197,966.46

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Solution

The fourth proportional to 359,114.94, 495,580.12 and 197,966.46 is: 273,194.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,114.94 : 495,580.12 = 197,966.46 : x
  2. Step 2: Convert to fraction form
    359,114.94/495,580.12 = 197,966.46/x
  3. Step 3: Cross multiply
    359,114.94x = 495,580.12 × 197,966.46
  4. Step 4: Simplify right side
    359,114.94x = 98,108,240,020.62
  5. Step 5: Solve for x
    x = 98,108,240,020.62/359,114.94
  6. Step 6: Final answer
    x = 273,194.53

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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.