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Finding the Fourth Proportional to 314,687.88, 471,775.68 and 146,314.26

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Solution

The fourth proportional to 314,687.88, 471,775.68 and 146,314.26 is: 219,352.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,687.88 : 471,775.68 = 146,314.26 : x
  2. Step 2: Convert to fraction form
    314,687.88/471,775.68 = 146,314.26/x
  3. Step 3: Cross multiply
    314,687.88x = 471,775.68 × 146,314.26
  4. Step 4: Simplify right side
    314,687.88x = 69,027,509,505.20
  5. Step 5: Solve for x
    x = 69,027,509,505.20/314,687.88
  6. Step 6: Final answer
    x = 219,352.30

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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.