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Finding the Fourth Proportional to 314,366.79, 433,826.22 and 171,127.91

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Solution

The fourth proportional to 314,366.79, 433,826.22 and 171,127.91 is: 236,156.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,366.79 : 433,826.22 = 171,127.91 : x
  2. Step 2: Convert to fraction form
    314,366.79/433,826.22 = 171,127.91/x
  3. Step 3: Cross multiply
    314,366.79x = 433,826.22 × 171,127.91
  4. Step 4: Simplify right side
    314,366.79x = 74,239,773,789.52
  5. Step 5: Solve for x
    x = 74,239,773,789.52/314,366.79
  6. Step 6: Final answer
    x = 236,156.54

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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.