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Finding the Fourth Proportional to 277,327.44, 382,711.92 and 156,494.40

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Solution

The fourth proportional to 277,327.44, 382,711.92 and 156,494.40 is: 215,962.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,327.44 : 382,711.92 = 156,494.40 : x
  2. Step 2: Convert to fraction form
    277,327.44/382,711.92 = 156,494.40/x
  3. Step 3: Cross multiply
    277,327.44x = 382,711.92 × 156,494.40
  4. Step 4: Simplify right side
    277,327.44x = 59,892,272,293.25
  5. Step 5: Solve for x
    x = 59,892,272,293.25/277,327.44
  6. Step 6: Final answer
    x = 215,962.30

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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.