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Finding the Fourth Proportional to 542,076.32, 812,967.60 and 226,467.20

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Solution

The fourth proportional to 542,076.32, 812,967.60 and 226,467.20 is: 339,639.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,076.32 : 812,967.60 = 226,467.20 : x
  2. Step 2: Convert to fraction form
    542,076.32/812,967.60 = 226,467.20/x
  3. Step 3: Cross multiply
    542,076.32x = 812,967.60 × 226,467.20
  4. Step 4: Simplify right side
    542,076.32x = 184,110,496,062.72
  5. Step 5: Solve for x
    x = 184,110,496,062.72/542,076.32
  6. Step 6: Final answer
    x = 339,639.44

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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.