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Finding the Fourth Proportional to 264,534.76, 396,827.34 and 87,043.24

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Solution

The fourth proportional to 264,534.76, 396,827.34 and 87,043.24 is: 130,573.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,534.76 : 396,827.34 = 87,043.24 : x
  2. Step 2: Convert to fraction form
    264,534.76/396,827.34 = 87,043.24/x
  3. Step 3: Cross multiply
    264,534.76x = 396,827.34 × 87,043.24
  4. Step 4: Simplify right side
    264,534.76x = 34,541,137,394.18
  5. Step 5: Solve for x
    x = 34,541,137,394.18/264,534.76
  6. Step 6: Final answer
    x = 130,573.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.