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Finding the Fourth Proportional to 296,044.40, 408,543.58 and 163,441.34

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Solution

The fourth proportional to 296,044.40, 408,543.58 and 163,441.34 is: 225,550.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,044.40 : 408,543.58 = 163,441.34 : x
  2. Step 2: Convert to fraction form
    296,044.40/408,543.58 = 163,441.34/x
  3. Step 3: Cross multiply
    296,044.40x = 408,543.58 × 163,441.34
  4. Step 4: Simplify right side
    296,044.40x = 66,772,908,120.88
  5. Step 5: Solve for x
    x = 66,772,908,120.88/296,044.40
  6. Step 6: Final answer
    x = 225,550.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.