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Finding the Fourth Proportional to 429,541.38, 592,750.80 and 238,567.02

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Solution

The fourth proportional to 429,541.38, 592,750.80 and 238,567.02 is: 329,213.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,541.38 : 592,750.80 = 238,567.02 : x
  2. Step 2: Convert to fraction form
    429,541.38/592,750.80 = 238,567.02/x
  3. Step 3: Cross multiply
    429,541.38x = 592,750.80 × 238,567.02
  4. Step 4: Simplify right side
    429,541.38x = 141,410,791,958.62
  5. Step 5: Solve for x
    x = 141,410,791,958.62/429,541.38
  6. Step 6: Final answer
    x = 329,213.43

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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.