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Finding the Fourth Proportional to 359,200.55, 495,768.60 and 206,343.60

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Solution

The fourth proportional to 359,200.55, 495,768.60 and 206,343.60 is: 284,795.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,200.55 : 495,768.60 = 206,343.60 : x
  2. Step 2: Convert to fraction form
    359,200.55/495,768.60 = 206,343.60/x
  3. Step 3: Cross multiply
    359,200.55x = 495,768.60 × 206,343.60
  4. Step 4: Simplify right side
    359,200.55x = 102,298,678,620.53
  5. Step 5: Solve for x
    x = 102,298,678,620.53/359,200.55
  6. Step 6: Final answer
    x = 284,795.44

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1.5x scale

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.