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Finding the Fourth Proportional to 417,689.26, 625,411.36 and 265,059.98

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Solution

The fourth proportional to 417,689.26, 625,411.36 and 265,059.98 is: 396,877.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,689.26 : 625,411.36 = 265,059.98 : x
  2. Step 2: Convert to fraction form
    417,689.26/625,411.36 = 265,059.98/x
  3. Step 3: Cross multiply
    417,689.26x = 625,411.36 × 265,059.98
  4. Step 4: Simplify right side
    417,689.26x = 165,771,522,122.93
  5. Step 5: Solve for x
    x = 165,771,522,122.93/417,689.26
  6. Step 6: Final answer
    x = 396,877.63

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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.