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Finding the Fourth Proportional to 461,648.89, 692,512.98 and 162,103.72

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Solution

The fourth proportional to 461,648.89, 692,512.98 and 162,103.72 is: 243,169.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,648.89 : 692,512.98 = 162,103.72 : x
  2. Step 2: Convert to fraction form
    461,648.89/692,512.98 = 162,103.72/x
  3. Step 3: Cross multiply
    461,648.89x = 692,512.98 × 162,103.72
  4. Step 4: Simplify right side
    461,648.89x = 112,258,930,206.29
  5. Step 5: Solve for x
    x = 112,258,930,206.29/461,648.89
  6. Step 6: Final answer
    x = 243,169.50

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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.