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Finding the Fourth Proportional to 289,425.92, 399,422.01 and 174,702.74

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Solution

The fourth proportional to 289,425.92, 399,422.01 and 174,702.74 is: 241,098.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,425.92 : 399,422.01 = 174,702.74 : x
  2. Step 2: Convert to fraction form
    289,425.92/399,422.01 = 174,702.74/x
  3. Step 3: Cross multiply
    289,425.92x = 399,422.01 × 174,702.74
  4. Step 4: Simplify right side
    289,425.92x = 69,780,119,563.31
  5. Step 5: Solve for x
    x = 69,780,119,563.31/289,425.92
  6. Step 6: Final answer
    x = 241,098.38

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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.