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Finding the Fourth Proportional to 343,624, 474,408.48 and 224,599.36

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Solution

The fourth proportional to 343,624, 474,408.48 and 224,599.36 is: 310,082.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,624 : 474,408.48 = 224,599.36 : x
  2. Step 2: Convert to fraction form
    343,624/474,408.48 = 224,599.36/x
  3. Step 3: Cross multiply
    343,624x = 474,408.48 × 224,599.36
  4. Step 4: Simplify right side
    343,624x = 106,551,840,986.57
  5. Step 5: Solve for x
    x = 106,551,840,986.57/343,624
  6. Step 6: Final answer
    x = 310,082.65

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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.