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Finding the Fourth Proportional to 417,062.88, 625,127.76 and 180,050.40

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Solution

The fourth proportional to 417,062.88, 625,127.76 and 180,050.40 is: 269,874.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,062.88 : 625,127.76 = 180,050.40 : x
  2. Step 2: Convert to fraction form
    417,062.88/625,127.76 = 180,050.40/x
  3. Step 3: Cross multiply
    417,062.88x = 625,127.76 × 180,050.40
  4. Step 4: Simplify right side
    417,062.88x = 112,554,503,239.10
  5. Step 5: Solve for x
    x = 112,554,503,239.10/417,062.88
  6. Step 6: Final answer
    x = 269,874.18

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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.