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Finding the Fourth Proportional to 334,790, 462,190.11 and 258,141.12

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Solution

The fourth proportional to 334,790, 462,190.11 and 258,141.12 is: 356,373.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,790 : 462,190.11 = 258,141.12 : x
  2. Step 2: Convert to fraction form
    334,790/462,190.11 = 258,141.12/x
  3. Step 3: Cross multiply
    334,790x = 462,190.11 × 258,141.12
  4. Step 4: Simplify right side
    334,790x = 119,310,272,648.32
  5. Step 5: Solve for x
    x = 119,310,272,648.32/334,790
  6. Step 6: Final answer
    x = 356,373.47

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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.