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Finding the Fourth Proportional to 472,018.44, 707,717.40 and 228,795.12

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Solution

The fourth proportional to 472,018.44, 707,717.40 and 228,795.12 is: 343,042.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,018.44 : 707,717.40 = 228,795.12 : x
  2. Step 2: Convert to fraction form
    472,018.44/707,717.40 = 228,795.12/x
  3. Step 3: Cross multiply
    472,018.44x = 707,717.40 × 228,795.12
  4. Step 4: Simplify right side
    472,018.44x = 161,922,287,459.09
  5. Step 5: Solve for x
    x = 161,922,287,459.09/472,018.44
  6. Step 6: Final answer
    x = 343,042.29

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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.