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Finding the Fourth Proportional to 473,471.65, 710,518.21 and 173,954.71

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Solution

The fourth proportional to 473,471.65, 710,518.21 and 173,954.71 is: 261,046.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,471.65 : 710,518.21 = 173,954.71 : x
  2. Step 2: Convert to fraction form
    473,471.65/710,518.21 = 173,954.71/x
  3. Step 3: Cross multiply
    473,471.65x = 710,518.21 × 173,954.71
  4. Step 4: Simplify right side
    473,471.65x = 123,597,989,170.27
  5. Step 5: Solve for x
    x = 123,597,989,170.27/473,471.65
  6. Step 6: Final answer
    x = 261,046.23

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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.