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Finding the Fourth Proportional to 429,009.60, 592,024.88 and 238,021.32

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Solution

The fourth proportional to 429,009.60, 592,024.88 and 238,021.32 is: 328,464.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,009.60 : 592,024.88 = 238,021.32 : x
  2. Step 2: Convert to fraction form
    429,009.60/592,024.88 = 238,021.32/x
  3. Step 3: Cross multiply
    429,009.60x = 592,024.88 × 238,021.32
  4. Step 4: Simplify right side
    429,009.60x = 140,914,543,410.44
  5. Step 5: Solve for x
    x = 140,914,543,410.44/429,009.60
  6. Step 6: Final answer
    x = 328,464.78

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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.