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Finding the Fourth Proportional to 468,513.36, 702,800.82 and 187,994.16

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Solution

The fourth proportional to 468,513.36, 702,800.82 and 187,994.16 is: 282,003.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,513.36 : 702,800.82 = 187,994.16 : x
  2. Step 2: Convert to fraction form
    468,513.36/702,800.82 = 187,994.16/x
  3. Step 3: Cross multiply
    468,513.36x = 702,800.82 × 187,994.16
  4. Step 4: Simplify right side
    468,513.36x = 132,122,449,803.21
  5. Step 5: Solve for x
    x = 132,122,449,803.21/468,513.36
  6. Step 6: Final answer
    x = 282,003.59

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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.