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Finding the Fourth Proportional to 625,696.16, 863,002.08 and 410,757.80

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Solution

The fourth proportional to 625,696.16, 863,002.08 and 410,757.80 is: 566,544.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,696.16 : 863,002.08 = 410,757.80 : x
  2. Step 2: Convert to fraction form
    625,696.16/863,002.08 = 410,757.80/x
  3. Step 3: Cross multiply
    625,696.16x = 863,002.08 × 410,757.80
  4. Step 4: Simplify right side
    625,696.16x = 354,484,831,461.21
  5. Step 5: Solve for x
    x = 354,484,831,461.21/625,696.16
  6. Step 6: Final answer
    x = 566,544.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.