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Finding the Fourth Proportional to 547,449.84, 755,064.48 and 471,097.57

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Solution

The fourth proportional to 547,449.84, 755,064.48 and 471,097.57 is: 649,756.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,449.84 : 755,064.48 = 471,097.57 : x
  2. Step 2: Convert to fraction form
    547,449.84/755,064.48 = 471,097.57/x
  3. Step 3: Cross multiply
    547,449.84x = 755,064.48 × 471,097.57
  4. Step 4: Simplify right side
    547,449.84x = 355,709,043,016.01
  5. Step 5: Solve for x
    x = 355,709,043,016.01/547,449.84
  6. Step 6: Final answer
    x = 649,756.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.