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Finding the Fourth Proportional to 299,395.96, 413,167.98 and 165,259.96

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Solution

The fourth proportional to 299,395.96, 413,167.98 and 165,259.96 is: 228,059.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,395.96 : 413,167.98 = 165,259.96 : x
  2. Step 2: Convert to fraction form
    299,395.96/413,167.98 = 165,259.96/x
  3. Step 3: Cross multiply
    299,395.96x = 413,167.98 × 165,259.96
  4. Step 4: Simplify right side
    299,395.96x = 68,280,123,848.08
  5. Step 5: Solve for x
    x = 68,280,123,848.08/299,395.96
  6. Step 6: Final answer
    x = 228,059.60

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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.