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Finding the Fourth Proportional to 585,108.26, 877,692.78 and 185,780.30

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Solution

The fourth proportional to 585,108.26, 877,692.78 and 185,780.30 is: 278,680.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,108.26 : 877,692.78 = 185,780.30 : x
  2. Step 2: Convert to fraction form
    585,108.26/877,692.78 = 185,780.30/x
  3. Step 3: Cross multiply
    585,108.26x = 877,692.78 × 185,780.30
  4. Step 4: Simplify right side
    585,108.26x = 163,058,027,976.23
  5. Step 5: Solve for x
    x = 163,058,027,976.23/585,108.26
  6. Step 6: Final answer
    x = 278,680.10

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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.