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Finding the Fourth Proportional to 314,531.10, 471,796.65 and 77,873.78

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Solution

The fourth proportional to 314,531.10, 471,796.65 and 77,873.78 is: 116,810.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,531.10 : 471,796.65 = 77,873.78 : x
  2. Step 2: Convert to fraction form
    314,531.10/471,796.65 = 77,873.78/x
  3. Step 3: Cross multiply
    314,531.10x = 471,796.65 × 77,873.78
  4. Step 4: Simplify right side
    314,531.10x = 36,740,589,706.33
  5. Step 5: Solve for x
    x = 36,740,589,706.33/314,531.10
  6. Step 6: Final answer
    x = 116,810.67

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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.