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Finding the Fourth Proportional to 314,237.82, 471,357.72 and 77,580.54

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Solution

The fourth proportional to 314,237.82, 471,357.72 and 77,580.54 is: 116,371.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,237.82 : 471,357.72 = 77,580.54 : x
  2. Step 2: Convert to fraction form
    314,237.82/471,357.72 = 77,580.54/x
  3. Step 3: Cross multiply
    314,237.82x = 471,357.72 × 77,580.54
  4. Step 4: Simplify right side
    314,237.82x = 36,568,186,450.77
  5. Step 5: Solve for x
    x = 36,568,186,450.77/314,237.82
  6. Step 6: Final answer
    x = 116,371.05

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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.