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Finding the Fourth Proportional to 402,630.32, 603,502.58 and 165,843.83

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Solution

The fourth proportional to 402,630.32, 603,502.58 and 165,843.83 is: 248,583.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,630.32 : 603,502.58 = 165,843.83 : x
  2. Step 2: Convert to fraction form
    402,630.32/603,502.58 = 165,843.83/x
  3. Step 3: Cross multiply
    402,630.32x = 603,502.58 × 165,843.83
  4. Step 4: Simplify right side
    402,630.32x = 100,087,181,205.45
  5. Step 5: Solve for x
    x = 100,087,181,205.45/402,630.32
  6. Step 6: Final answer
    x = 248,583.32

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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.