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Finding the Fourth Proportional to 460,956.96, 691,377.12 and 180,671.04

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Solution

The fourth proportional to 460,956.96, 691,377.12 and 180,671.04 is: 270,983.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,956.96 : 691,377.12 = 180,671.04 : x
  2. Step 2: Convert to fraction form
    460,956.96/691,377.12 = 180,671.04/x
  3. Step 3: Cross multiply
    460,956.96x = 691,377.12 × 180,671.04
  4. Step 4: Simplify right side
    460,956.96x = 124,911,823,302.61
  5. Step 5: Solve for x
    x = 124,911,823,302.61/460,956.96
  6. Step 6: Final answer
    x = 270,983.70

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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.