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Finding the Fourth Proportional to 334,507.16, 461,619.71 and 189,310.31

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Solution

The fourth proportional to 334,507.16, 461,619.71 and 189,310.31 is: 261,248.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,507.16 : 461,619.71 = 189,310.31 : x
  2. Step 2: Convert to fraction form
    334,507.16/461,619.71 = 189,310.31/x
  3. Step 3: Cross multiply
    334,507.16x = 461,619.71 × 189,310.31
  4. Step 4: Simplify right side
    334,507.16x = 87,389,370,402.21
  5. Step 5: Solve for x
    x = 87,389,370,402.21/334,507.16
  6. Step 6: Final answer
    x = 261,248.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.