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Finding the Fourth Proportional to 610,500.25, 915,752 and 189,776.53

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Solution

The fourth proportional to 610,500.25, 915,752 and 189,776.53 is: 284,665.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,500.25 : 915,752 = 189,776.53 : x
  2. Step 2: Convert to fraction form
    610,500.25/915,752 = 189,776.53/x
  3. Step 3: Cross multiply
    610,500.25x = 915,752 × 189,776.53
  4. Step 4: Simplify right side
    610,500.25x = 173,788,236,900.56
  5. Step 5: Solve for x
    x = 173,788,236,900.56/610,500.25
  6. Step 6: Final answer
    x = 284,665.30

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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.