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Finding the Fourth Proportional to 416,179.20, 623,347.20 and 342,451.20

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Solution

The fourth proportional to 416,179.20, 623,347.20 and 342,451.20 is: 512,918.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,179.20 : 623,347.20 = 342,451.20 : x
  2. Step 2: Convert to fraction form
    416,179.20/623,347.20 = 342,451.20/x
  3. Step 3: Cross multiply
    416,179.20x = 623,347.20 × 342,451.20
  4. Step 4: Simplify right side
    416,179.20x = 213,465,996,656.64
  5. Step 5: Solve for x
    x = 213,465,996,656.64/416,179.20
  6. Step 6: Final answer
    x = 512,918.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.