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Finding the Fourth Proportional to 382,648.92, 573,774.85 and 112,742.03

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Solution

The fourth proportional to 382,648.92, 573,774.85 and 112,742.03 is: 169,054.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,648.92 : 573,774.85 = 112,742.03 : x
  2. Step 2: Convert to fraction form
    382,648.92/573,774.85 = 112,742.03/x
  3. Step 3: Cross multiply
    382,648.92x = 573,774.85 × 112,742.03
  4. Step 4: Simplify right side
    382,648.92x = 64,688,541,351.95
  5. Step 5: Solve for x
    x = 64,688,541,351.95/382,648.92
  6. Step 6: Final answer
    x = 169,054.55

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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.