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Finding the Fourth Proportional to 299,925.41, 413,897.90 and 163,961

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Solution

The fourth proportional to 299,925.41, 413,897.90 and 163,961 is: 226,266.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,925.41 : 413,897.90 = 163,961 : x
  2. Step 2: Convert to fraction form
    299,925.41/413,897.90 = 163,961/x
  3. Step 3: Cross multiply
    299,925.41x = 413,897.90 × 163,961
  4. Step 4: Simplify right side
    299,925.41x = 67,863,113,581.90
  5. Step 5: Solve for x
    x = 67,863,113,581.90/299,925.41
  6. Step 6: Final answer
    x = 226,266.64

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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.