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Finding the Fourth Proportional to 334,568.84, 461,645.42 and 189,373.91

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Solution

The fourth proportional to 334,568.84, 461,645.42 and 189,373.91 is: 261,302.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,568.84 : 461,645.42 = 189,373.91 : x
  2. Step 2: Convert to fraction form
    334,568.84/461,645.42 = 189,373.91/x
  3. Step 3: Cross multiply
    334,568.84x = 461,645.42 × 189,373.91
  4. Step 4: Simplify right side
    334,568.84x = 87,423,594,963.90
  5. Step 5: Solve for x
    x = 87,423,594,963.90/334,568.84
  6. Step 6: Final answer
    x = 261,302.27

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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.