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Finding the Fourth Proportional to 897,714, 1,238,871.24 and 495,331.92

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Solution

The fourth proportional to 897,714, 1,238,871.24 and 495,331.92 is: 683,572.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,714 : 1,238,871.24 = 495,331.92 : x
  2. Step 2: Convert to fraction form
    897,714/1,238,871.24 = 495,331.92/x
  3. Step 3: Cross multiply
    897,714x = 1,238,871.24 × 495,331.92
  4. Step 4: Simplify right side
    897,714x = 613,652,469,941.98
  5. Step 5: Solve for x
    x = 613,652,469,941.98/897,714
  6. Step 6: Final answer
    x = 683,572.35

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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.