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Finding the Fourth Proportional to 314,356.70, 471,250.67 and 114,630.36

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Solution

The fourth proportional to 314,356.70, 471,250.67 and 114,630.36 is: 171,841.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,356.70 : 471,250.67 = 114,630.36 : x
  2. Step 2: Convert to fraction form
    314,356.70/471,250.67 = 114,630.36/x
  3. Step 3: Cross multiply
    314,356.70x = 471,250.67 × 114,630.36
  4. Step 4: Simplify right side
    314,356.70x = 54,019,633,379.19
  5. Step 5: Solve for x
    x = 54,019,633,379.19/314,356.70
  6. Step 6: Final answer
    x = 171,841.84

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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.