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Finding the Fourth Proportional to 314,705.88, 471,499.09 and 181,310.50

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Solution

The fourth proportional to 314,705.88, 471,499.09 and 181,310.50 is: 271,643.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,705.88 : 471,499.09 = 181,310.50 : x
  2. Step 2: Convert to fraction form
    314,705.88/471,499.09 = 181,310.50/x
  3. Step 3: Cross multiply
    314,705.88x = 471,499.09 × 181,310.50
  4. Step 4: Simplify right side
    314,705.88x = 85,487,736,148.51
  5. Step 5: Solve for x
    x = 85,487,736,148.51/314,705.88
  6. Step 6: Final answer
    x = 271,643.27

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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.