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Finding the Fourth Proportional to 923,211, 1,274,075.19 and 520,803

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Solution

The fourth proportional to 923,211, 1,274,075.19 and 520,803 is: 718,732.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,211 : 1,274,075.19 = 520,803 : x
  2. Step 2: Convert to fraction form
    923,211/1,274,075.19 = 520,803/x
  3. Step 3: Cross multiply
    923,211x = 1,274,075.19 × 520,803
  4. Step 4: Simplify right side
    923,211x = 663,542,181,177.57
  5. Step 5: Solve for x
    x = 663,542,181,177.57/923,211
  6. Step 6: Final answer
    x = 718,732.97

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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.