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Finding the Fourth Proportional to 495,198.26, 742,512.54 and 264,102.18

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Solution

The fourth proportional to 495,198.26, 742,512.54 and 264,102.18 is: 396,001.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,198.26 : 742,512.54 = 264,102.18 : x
  2. Step 2: Convert to fraction form
    495,198.26/742,512.54 = 264,102.18/x
  3. Step 3: Cross multiply
    495,198.26x = 742,512.54 × 264,102.18
  4. Step 4: Simplify right side
    495,198.26x = 196,099,180,491.34
  5. Step 5: Solve for x
    x = 196,099,180,491.34/495,198.26
  6. Step 6: Final answer
    x = 396,001.35

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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.