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Finding the Fourth Proportional to 702,846.20, 969,923.68 and 380,549.64

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Solution

The fourth proportional to 702,846.20, 969,923.68 and 380,549.64 is: 525,156.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,846.20 : 969,923.68 = 380,549.64 : x
  2. Step 2: Convert to fraction form
    702,846.20/969,923.68 = 380,549.64/x
  3. Step 3: Cross multiply
    702,846.20x = 969,923.68 × 380,549.64
  4. Step 4: Simplify right side
    702,846.20x = 369,104,107,251.48
  5. Step 5: Solve for x
    x = 369,104,107,251.48/702,846.20
  6. Step 6: Final answer
    x = 525,156.30

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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.