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Finding the Fourth Proportional to 466,670.92, 644,054.16 and 285,503.44

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Solution

The fourth proportional to 466,670.92, 644,054.16 and 285,503.44 is: 394,024.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,670.92 : 644,054.16 = 285,503.44 : x
  2. Step 2: Convert to fraction form
    466,670.92/644,054.16 = 285,503.44/x
  3. Step 3: Cross multiply
    466,670.92x = 644,054.16 × 285,503.44
  4. Step 4: Simplify right side
    466,670.92x = 183,879,678,226.31
  5. Step 5: Solve for x
    x = 183,879,678,226.31/466,670.92
  6. Step 6: Final answer
    x = 394,024.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.