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Finding the Fourth Proportional to 359,113.50, 495,573.37 and 197,968.55

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Solution

The fourth proportional to 359,113.50, 495,573.37 and 197,968.55 is: 273,194.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,113.50 : 495,573.37 = 197,968.55 : x
  2. Step 2: Convert to fraction form
    359,113.50/495,573.37 = 197,968.55/x
  3. Step 3: Cross multiply
    359,113.50x = 495,573.37 × 197,968.55
  4. Step 4: Simplify right side
    359,113.50x = 98,107,938,999.65
  5. Step 5: Solve for x
    x = 98,107,938,999.65/359,113.50
  6. Step 6: Final answer
    x = 273,194.80

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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.