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Finding the Fourth Proportional to 503,363.72, 755,176.26 and 187,823

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Solution

The fourth proportional to 503,363.72, 755,176.26 and 187,823 is: 281,783.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,363.72 : 755,176.26 = 187,823 : x
  2. Step 2: Convert to fraction form
    503,363.72/755,176.26 = 187,823/x
  3. Step 3: Cross multiply
    503,363.72x = 755,176.26 × 187,823
  4. Step 4: Simplify right side
    503,363.72x = 141,839,470,681.98
  5. Step 5: Solve for x
    x = 141,839,470,681.98/503,363.72
  6. Step 6: Final answer
    x = 281,783.26

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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.