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Finding the Fourth Proportional to 292,213.70, 438,320.55 and 178,052.30

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Solution

The fourth proportional to 292,213.70, 438,320.55 and 178,052.30 is: 267,078.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,213.70 : 438,320.55 = 178,052.30 : x
  2. Step 2: Convert to fraction form
    292,213.70/438,320.55 = 178,052.30/x
  3. Step 3: Cross multiply
    292,213.70x = 438,320.55 × 178,052.30
  4. Step 4: Simplify right side
    292,213.70x = 78,043,982,064.77
  5. Step 5: Solve for x
    x = 78,043,982,064.77/292,213.70
  6. Step 6: Final answer
    x = 267,078.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.