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Finding the Fourth Proportional to 457,709.52, 686,470.43 and 173,301.95

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Solution

The fourth proportional to 457,709.52, 686,470.43 and 173,301.95 is: 259,917.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,709.52 : 686,470.43 = 173,301.95 : x
  2. Step 2: Convert to fraction form
    457,709.52/686,470.43 = 173,301.95/x
  3. Step 3: Cross multiply
    457,709.52x = 686,470.43 × 173,301.95
  4. Step 4: Simplify right side
    457,709.52x = 118,966,660,703.99
  5. Step 5: Solve for x
    x = 118,966,660,703.99/457,709.52
  6. Step 6: Final answer
    x = 259,917.38

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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.