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Finding the Fourth Proportional to 865,081.62, 1,296,805.95 and 416,056.50

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Solution

The fourth proportional to 865,081.62, 1,296,805.95 and 416,056.50 is: 623,692.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,081.62 : 1,296,805.95 = 416,056.50 : x
  2. Step 2: Convert to fraction form
    865,081.62/1,296,805.95 = 416,056.50/x
  3. Step 3: Cross multiply
    865,081.62x = 1,296,805.95 × 416,056.50
  4. Step 4: Simplify right side
    865,081.62x = 539,544,544,736.18
  5. Step 5: Solve for x
    x = 539,544,544,736.18/865,081.62
  6. Step 6: Final answer
    x = 623,692.07

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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.