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Finding the Fourth Proportional to 314,277.54, 433,694.66 and 171,034.50

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Solution

The fourth proportional to 314,277.54, 433,694.66 and 171,034.50 is: 236,023.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,277.54 : 433,694.66 = 171,034.50 : x
  2. Step 2: Convert to fraction form
    314,277.54/433,694.66 = 171,034.50/x
  3. Step 3: Cross multiply
    314,277.54x = 433,694.66 × 171,034.50
  4. Step 4: Simplify right side
    314,277.54x = 74,176,749,325.77
  5. Step 5: Solve for x
    x = 74,176,749,325.77/314,277.54
  6. Step 6: Final answer
    x = 236,023.07

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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.