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Finding the Fourth Proportional to 585,605.40, 878,422.68 and 164,878.44

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Solution

The fourth proportional to 585,605.40, 878,422.68 and 164,878.44 is: 247,321.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,605.40 : 878,422.68 = 164,878.44 : x
  2. Step 2: Convert to fraction form
    585,605.40/878,422.68 = 164,878.44/x
  3. Step 3: Cross multiply
    585,605.40x = 878,422.68 × 164,878.44
  4. Step 4: Simplify right side
    585,605.40x = 144,832,961,139.02
  5. Step 5: Solve for x
    x = 144,832,961,139.02/585,605.40
  6. Step 6: Final answer
    x = 247,321.77

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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.