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Finding the Fourth Proportional to 537,670.14, 741,956.52 and 295,906.50

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Solution

The fourth proportional to 537,670.14, 741,956.52 and 295,906.50 is: 408,335.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,670.14 : 741,956.52 = 295,906.50 : x
  2. Step 2: Convert to fraction form
    537,670.14/741,956.52 = 295,906.50/x
  3. Step 3: Cross multiply
    537,670.14x = 741,956.52 × 295,906.50
  4. Step 4: Simplify right side
    537,670.14x = 219,549,756,985.38
  5. Step 5: Solve for x
    x = 219,549,756,985.38/537,670.14
  6. Step 6: Final answer
    x = 408,335.41

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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.