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Finding the Fourth Proportional to 503,292.72, 755,069.76 and 187,752

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Solution

The fourth proportional to 503,292.72, 755,069.76 and 187,752 is: 281,676.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,292.72 : 755,069.76 = 187,752 : x
  2. Step 2: Convert to fraction form
    503,292.72/755,069.76 = 187,752/x
  3. Step 3: Cross multiply
    503,292.72x = 755,069.76 × 187,752
  4. Step 4: Simplify right side
    503,292.72x = 141,765,857,579.52
  5. Step 5: Solve for x
    x = 141,765,857,579.52/503,292.72
  6. Step 6: Final answer
    x = 281,676.75

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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.