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Finding the Fourth Proportional to 340,407.69, 469,744 and 187,416.83

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Solution

The fourth proportional to 340,407.69, 469,744 and 187,416.83 is: 258,624.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,407.69 : 469,744 = 187,416.83 : x
  2. Step 2: Convert to fraction form
    340,407.69/469,744 = 187,416.83/x
  3. Step 3: Cross multiply
    340,407.69x = 469,744 × 187,416.83
  4. Step 4: Simplify right side
    340,407.69x = 88,037,929,042.80
  5. Step 5: Solve for x
    x = 88,037,929,042.80/340,407.69
  6. Step 6: Final answer
    x = 258,624.97

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