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Finding the Fourth Proportional to 429,268.78, 592,393.26 and 268,217.38

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Solution

The fourth proportional to 429,268.78, 592,393.26 and 268,217.38 is: 370,141.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,268.78 : 592,393.26 = 268,217.38 : x
  2. Step 2: Convert to fraction form
    429,268.78/592,393.26 = 268,217.38/x
  3. Step 3: Cross multiply
    429,268.78x = 592,393.26 × 268,217.38
  4. Step 4: Simplify right side
    429,268.78x = 158,890,168,126.86
  5. Step 5: Solve for x
    x = 158,890,168,126.86/429,268.78
  6. Step 6: Final answer
    x = 370,141.45

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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.