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Finding the Fourth Proportional to 315,648.74, 473,583.82 and 163,772.84

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Solution

The fourth proportional to 315,648.74, 473,583.82 and 163,772.84 is: 245,716.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,648.74 : 473,583.82 = 163,772.84 : x
  2. Step 2: Convert to fraction form
    315,648.74/473,583.82 = 163,772.84/x
  3. Step 3: Cross multiply
    315,648.74x = 473,583.82 × 163,772.84
  4. Step 4: Simplify right side
    315,648.74x = 77,560,167,179.45
  5. Step 5: Solve for x
    x = 77,560,167,179.45/315,648.74
  6. Step 6: Final answer
    x = 245,716.70

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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.