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Finding the Fourth Proportional to 299,696.76, 413,564.94 and 172,374.48

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Solution

The fourth proportional to 299,696.76, 413,564.94 and 172,374.48 is: 237,867.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,696.76 : 413,564.94 = 172,374.48 : x
  2. Step 2: Convert to fraction form
    299,696.76/413,564.94 = 172,374.48/x
  3. Step 3: Cross multiply
    299,696.76x = 413,564.94 × 172,374.48
  4. Step 4: Simplify right side
    299,696.76x = 71,288,041,478.73
  5. Step 5: Solve for x
    x = 71,288,041,478.73/299,696.76
  6. Step 6: Final answer
    x = 237,867.24

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1.5x scale

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.