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Finding the Fourth Proportional to 502,894.36, 754,452.78 and 166,039.12

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Solution

The fourth proportional to 502,894.36, 754,452.78 and 166,039.12 is: 249,095.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,894.36 : 754,452.78 = 166,039.12 : x
  2. Step 2: Convert to fraction form
    502,894.36/754,452.78 = 166,039.12/x
  3. Step 3: Cross multiply
    502,894.36x = 754,452.78 × 166,039.12
  4. Step 4: Simplify right side
    502,894.36x = 125,268,675,672.75
  5. Step 5: Solve for x
    x = 125,268,675,672.75/502,894.36
  6. Step 6: Final answer
    x = 249,095.41

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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.