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Finding the Fourth Proportional to 314,697.66, 434,277.25 and 171,458.71

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Solution

The fourth proportional to 314,697.66, 434,277.25 and 171,458.71 is: 236,610.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,697.66 : 434,277.25 = 171,458.71 : x
  2. Step 2: Convert to fraction form
    314,697.66/434,277.25 = 171,458.71/x
  3. Step 3: Cross multiply
    314,697.66x = 434,277.25 × 171,458.71
  4. Step 4: Simplify right side
    314,697.66x = 74,460,615,553.01
  5. Step 5: Solve for x
    x = 74,460,615,553.01/314,697.66
  6. Step 6: Final answer
    x = 236,610.01

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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.