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Finding the Fourth Proportional to 314,537.58, 471,412.90 and 247,713.79

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Solution

The fourth proportional to 314,537.58, 471,412.90 and 247,713.79 is: 371,260.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,537.58 : 471,412.90 = 247,713.79 : x
  2. Step 2: Convert to fraction form
    314,537.58/471,412.90 = 247,713.79/x
  3. Step 3: Cross multiply
    314,537.58x = 471,412.90 × 247,713.79
  4. Step 4: Simplify right side
    314,537.58x = 116,775,476,113.89
  5. Step 5: Solve for x
    x = 116,775,476,113.89/314,537.58
  6. Step 6: Final answer
    x = 371,260.81

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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.