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Finding the Fourth Proportional to 299,438.71, 413,186.20 and 178,594.18

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Solution

The fourth proportional to 299,438.71, 413,186.20 and 178,594.18 is: 246,436.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,438.71 : 413,186.20 = 178,594.18 : x
  2. Step 2: Convert to fraction form
    299,438.71/413,186.20 = 178,594.18/x
  3. Step 3: Cross multiply
    299,438.71x = 413,186.20 × 178,594.18
  4. Step 4: Simplify right side
    299,438.71x = 73,792,650,576.32
  5. Step 5: Solve for x
    x = 73,792,650,576.32/299,438.71
  6. Step 6: Final answer
    x = 246,436.58

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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.