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Finding the Fourth Proportional to 627,832.84, 942,341.10 and 228,859.24

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Solution

The fourth proportional to 627,832.84, 942,341.10 and 228,859.24 is: 343,504.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,832.84 : 942,341.10 = 228,859.24 : x
  2. Step 2: Convert to fraction form
    627,832.84/942,341.10 = 228,859.24/x
  3. Step 3: Cross multiply
    627,832.84x = 942,341.10 × 228,859.24
  4. Step 4: Simplify right side
    627,832.84x = 215,663,467,966.76
  5. Step 5: Solve for x
    x = 215,663,467,966.76/627,832.84
  6. Step 6: Final answer
    x = 343,504.60

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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.