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Finding the Fourth Proportional to 426,024.64, 587,893.48 and 232,420.83

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Solution

The fourth proportional to 426,024.64, 587,893.48 and 232,420.83 is: 320,729.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,024.64 : 587,893.48 = 232,420.83 : x
  2. Step 2: Convert to fraction form
    426,024.64/587,893.48 = 232,420.83/x
  3. Step 3: Cross multiply
    426,024.64x = 587,893.48 × 232,420.83
  4. Step 4: Simplify right side
    426,024.64x = 136,638,690,573.19
  5. Step 5: Solve for x
    x = 136,638,690,573.19/426,024.64
  6. Step 6: Final answer
    x = 320,729.55

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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.