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Finding the Fourth Proportional to 297,160, 410,083.04 and 163,024

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Solution

The fourth proportional to 297,160, 410,083.04 and 163,024 is: 224,974.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,160 : 410,083.04 = 163,024 : x
  2. Step 2: Convert to fraction form
    297,160/410,083.04 = 163,024/x
  3. Step 3: Cross multiply
    297,160x = 410,083.04 × 163,024
  4. Step 4: Simplify right side
    297,160x = 66,853,377,512.96
  5. Step 5: Solve for x
    x = 66,853,377,512.96/297,160
  6. Step 6: Final answer
    x = 224,974.35

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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.