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Finding the Fourth Proportional to 569,464.20, 852,641.10 and 410,833.80

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Solution

The fourth proportional to 569,464.20, 852,641.10 and 410,833.80 is: 615,128.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,464.20 : 852,641.10 = 410,833.80 : x
  2. Step 2: Convert to fraction form
    569,464.20/852,641.10 = 410,833.80/x
  3. Step 3: Cross multiply
    569,464.20x = 852,641.10 × 410,833.80
  4. Step 4: Simplify right side
    569,464.20x = 350,293,783,149.18
  5. Step 5: Solve for x
    x = 350,293,783,149.18/569,464.20
  6. Step 6: Final answer
    x = 615,128.72

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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.