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Finding the Fourth Proportional to 532,208.80, 798,440.78 and 177,225.90

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Solution

The fourth proportional to 532,208.80, 798,440.78 and 177,225.90 is: 265,881.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,208.80 : 798,440.78 = 177,225.90 : x
  2. Step 2: Convert to fraction form
    532,208.80/798,440.78 = 177,225.90/x
  3. Step 3: Cross multiply
    532,208.80x = 798,440.78 × 177,225.90
  4. Step 4: Simplify right side
    532,208.80x = 141,504,385,832.20
  5. Step 5: Solve for x
    x = 141,504,385,832.20/532,208.80
  6. Step 6: Final answer
    x = 265,881.33

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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.