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Finding the Fourth Proportional to 538,696.29, 807,868.60 and 178,770.46

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Solution

The fourth proportional to 538,696.29, 807,868.60 and 178,770.46 is: 268,097.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,696.29 : 807,868.60 = 178,770.46 : x
  2. Step 2: Convert to fraction form
    538,696.29/807,868.60 = 178,770.46/x
  3. Step 3: Cross multiply
    538,696.29x = 807,868.60 × 178,770.46
  4. Step 4: Simplify right side
    538,696.29x = 144,423,041,295.30
  5. Step 5: Solve for x
    x = 144,423,041,295.30/538,696.29
  6. Step 6: Final answer
    x = 268,097.34

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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.