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Finding the Fourth Proportional to 313,950.74, 471,052.06 and 114,284.93

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Solution

The fourth proportional to 313,950.74, 471,052.06 and 114,284.93 is: 171,473.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,950.74 : 471,052.06 = 114,284.93 : x
  2. Step 2: Convert to fraction form
    313,950.74/471,052.06 = 114,284.93/x
  3. Step 3: Cross multiply
    313,950.74x = 471,052.06 × 114,284.93
  4. Step 4: Simplify right side
    313,950.74x = 53,834,149,062.48
  5. Step 5: Solve for x
    x = 53,834,149,062.48/313,950.74
  6. Step 6: Final answer
    x = 171,473.24

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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.