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Finding the Fourth Proportional to 429,009.90, 592,033.76 and 238,022.84

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Solution

The fourth proportional to 429,009.90, 592,033.76 and 238,022.84 is: 328,471.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,009.90 : 592,033.76 = 238,022.84 : x
  2. Step 2: Convert to fraction form
    429,009.90/592,033.76 = 238,022.84/x
  3. Step 3: Cross multiply
    429,009.90x = 592,033.76 × 238,022.84
  4. Step 4: Simplify right side
    429,009.90x = 140,917,552,780.80
  5. Step 5: Solve for x
    x = 140,917,552,780.80/429,009.90
  6. Step 6: Final answer
    x = 328,471.56

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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.