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Finding the Fourth Proportional to 314,693.08, 434,281.43 and 171,453.08

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Solution

The fourth proportional to 314,693.08, 434,281.43 and 171,453.08 is: 236,607.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,693.08 : 434,281.43 = 171,453.08 : x
  2. Step 2: Convert to fraction form
    314,693.08/434,281.43 = 171,453.08/x
  3. Step 3: Cross multiply
    314,693.08x = 434,281.43 × 171,453.08
  4. Step 4: Simplify right side
    314,693.08x = 74,458,888,760.30
  5. Step 5: Solve for x
    x = 74,458,888,760.30/314,693.08
  6. Step 6: Final answer
    x = 236,607.96

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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.