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Finding the Fourth Proportional to 865,103.12, 1,296,838.16 and 416,078

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Solution

The fourth proportional to 865,103.12, 1,296,838.16 and 416,078 is: 623,724.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,103.12 : 1,296,838.16 = 416,078 : x
  2. Step 2: Convert to fraction form
    865,103.12/1,296,838.16 = 416,078/x
  3. Step 3: Cross multiply
    865,103.12x = 1,296,838.16 × 416,078
  4. Step 4: Simplify right side
    865,103.12x = 539,585,827,936.48
  5. Step 5: Solve for x
    x = 539,585,827,936.48/865,103.12
  6. Step 6: Final answer
    x = 623,724.29

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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.