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Finding the Fourth Proportional to 559,820.20, 839,730.30 and 185,843.20

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Solution

The fourth proportional to 559,820.20, 839,730.30 and 185,843.20 is: 278,764.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,820.20 : 839,730.30 = 185,843.20 : x
  2. Step 2: Convert to fraction form
    559,820.20/839,730.30 = 185,843.20/x
  3. Step 3: Cross multiply
    559,820.20x = 839,730.30 × 185,843.20
  4. Step 4: Simplify right side
    559,820.20x = 156,058,166,088.96
  5. Step 5: Solve for x
    x = 156,058,166,088.96/559,820.20
  6. Step 6: Final answer
    x = 278,764.80

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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.