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Finding the Fourth Proportional to 416,184.20, 623,354.70 and 342,456.20

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Solution

The fourth proportional to 416,184.20, 623,354.70 and 342,456.20 is: 512,925.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,184.20 : 623,354.70 = 342,456.20 : x
  2. Step 2: Convert to fraction form
    416,184.20/623,354.70 = 342,456.20/x
  3. Step 3: Cross multiply
    416,184.20x = 623,354.70 × 342,456.20
  4. Step 4: Simplify right side
    416,184.20x = 213,471,681,814.14
  5. Step 5: Solve for x
    x = 213,471,681,814.14/416,184.20
  6. Step 6: Final answer
    x = 512,925.96

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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.