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Finding the Fourth Proportional to 314,348.84, 471,350.94 and 124,617

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Solution

The fourth proportional to 314,348.84, 471,350.94 and 124,617 is: 186,857.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,348.84 : 471,350.94 = 124,617 : x
  2. Step 2: Convert to fraction form
    314,348.84/471,350.94 = 124,617/x
  3. Step 3: Cross multiply
    314,348.84x = 471,350.94 × 124,617
  4. Step 4: Simplify right side
    314,348.84x = 58,738,340,089.98
  5. Step 5: Solve for x
    x = 58,738,340,089.98/314,348.84
  6. Step 6: Final answer
    x = 186,857.19

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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.