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Finding the Fourth Proportional to 314,343.84, 471,343.44 and 124,612

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Solution

The fourth proportional to 314,343.84, 471,343.44 and 124,612 is: 186,849.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,343.84 : 471,343.44 = 124,612 : x
  2. Step 2: Convert to fraction form
    314,343.84/471,343.44 = 124,612/x
  3. Step 3: Cross multiply
    314,343.84x = 471,343.44 × 124,612
  4. Step 4: Simplify right side
    314,343.84x = 58,735,048,745.28
  5. Step 5: Solve for x
    x = 58,735,048,745.28/314,343.84
  6. Step 6: Final answer
    x = 186,849.69

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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.