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Finding the Fourth Proportional to 457,518.72, 686,364.44 and 173,294.40

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Solution

The fourth proportional to 457,518.72, 686,364.44 and 173,294.40 is: 259,974.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,518.72 : 686,364.44 = 173,294.40 : x
  2. Step 2: Convert to fraction form
    457,518.72/686,364.44 = 173,294.40/x
  3. Step 3: Cross multiply
    457,518.72x = 686,364.44 × 173,294.40
  4. Step 4: Simplify right side
    457,518.72x = 118,943,113,811.14
  5. Step 5: Solve for x
    x = 118,943,113,811.14/457,518.72
  6. Step 6: Final answer
    x = 259,974.31

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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.