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Finding the Fourth Proportional to 314,588.10, 434,151.99 and 187,246.38

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Solution

The fourth proportional to 314,588.10, 434,151.99 and 187,246.38 is: 258,412.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,588.10 : 434,151.99 = 187,246.38 : x
  2. Step 2: Convert to fraction form
    314,588.10/434,151.99 = 187,246.38/x
  3. Step 3: Cross multiply
    314,588.10x = 434,151.99 × 187,246.38
  4. Step 4: Simplify right side
    314,588.10x = 81,293,388,497.30
  5. Step 5: Solve for x
    x = 81,293,388,497.30/314,588.10
  6. Step 6: Final answer
    x = 258,412.15

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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.