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Finding the Fourth Proportional to 426,408.64, 588,418.56 and 232,777.72

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Solution

The fourth proportional to 426,408.64, 588,418.56 and 232,777.72 is: 321,219.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,408.64 : 588,418.56 = 232,777.72 : x
  2. Step 2: Convert to fraction form
    426,408.64/588,418.56 = 232,777.72/x
  3. Step 3: Cross multiply
    426,408.64x = 588,418.56 × 232,777.72
  4. Step 4: Simplify right side
    426,408.64x = 136,970,730,802.48
  5. Step 5: Solve for x
    x = 136,970,730,802.48/426,408.64
  6. Step 6: Final answer
    x = 321,219.41

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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.