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Finding the Fourth Proportional to 299,967.89, 413,963.51 and 164,007.57

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Solution

The fourth proportional to 299,967.89, 413,963.51 and 164,007.57 is: 226,334.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,967.89 : 413,963.51 = 164,007.57 : x
  2. Step 2: Convert to fraction form
    299,967.89/413,963.51 = 164,007.57/x
  3. Step 3: Cross multiply
    299,967.89x = 413,963.51 × 164,007.57
  4. Step 4: Simplify right side
    299,967.89x = 67,893,148,523.73
  5. Step 5: Solve for x
    x = 67,893,148,523.73/299,967.89
  6. Step 6: Final answer
    x = 226,334.72

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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.