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Finding the Fourth Proportional to 465,813.64, 698,746.38 and 133,381

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Solution

The fourth proportional to 465,813.64, 698,746.38 and 133,381 is: 200,078.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,813.64 : 698,746.38 = 133,381 : x
  2. Step 2: Convert to fraction form
    465,813.64/698,746.38 = 133,381/x
  3. Step 3: Cross multiply
    465,813.64x = 698,746.38 × 133,381
  4. Step 4: Simplify right side
    465,813.64x = 93,199,490,910.78
  5. Step 5: Solve for x
    x = 93,199,490,910.78/465,813.64
  6. Step 6: Final answer
    x = 200,078.92

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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.