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Finding the Fourth Proportional to 472,754.90, 709,263.57 and 262,540.46

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Solution

The fourth proportional to 472,754.90, 709,263.57 and 262,540.46 is: 393,883.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,754.90 : 709,263.57 = 262,540.46 : x
  2. Step 2: Convert to fraction form
    472,754.90/709,263.57 = 262,540.46/x
  3. Step 3: Cross multiply
    472,754.90x = 709,263.57 × 262,540.46
  4. Step 4: Simplify right side
    472,754.90x = 186,210,380,382.72
  5. Step 5: Solve for x
    x = 186,210,380,382.72/472,754.90
  6. Step 6: Final answer
    x = 393,883.56

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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.