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Finding the Fourth Proportional to 341,160.65, 510,899.99 and 214,486.64

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Solution

The fourth proportional to 341,160.65, 510,899.99 and 214,486.64 is: 321,201.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,160.65 : 510,899.99 = 214,486.64 : x
  2. Step 2: Convert to fraction form
    341,160.65/510,899.99 = 214,486.64/x
  3. Step 3: Cross multiply
    341,160.65x = 510,899.99 × 214,486.64
  4. Step 4: Simplify right side
    341,160.65x = 109,581,222,231.13
  5. Step 5: Solve for x
    x = 109,581,222,231.13/341,160.65
  6. Step 6: Final answer
    x = 321,201.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.