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Finding the Fourth Proportional to 472,990.84, 709,064.28 and 173,401.46

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Solution

The fourth proportional to 472,990.84, 709,064.28 and 173,401.46 is: 259,947.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,990.84 : 709,064.28 = 173,401.46 : x
  2. Step 2: Convert to fraction form
    472,990.84/709,064.28 = 173,401.46/x
  3. Step 3: Cross multiply
    472,990.84x = 709,064.28 × 173,401.46
  4. Step 4: Simplify right side
    472,990.84x = 122,952,780,499.52
  5. Step 5: Solve for x
    x = 122,952,780,499.52/472,990.84
  6. Step 6: Final answer
    x = 259,947.49

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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.