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Finding the Fourth Proportional to 477,183.49, 715,657.17 and 285,110.35

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Solution

The fourth proportional to 477,183.49, 715,657.17 and 285,110.35 is: 427,594.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,183.49 : 715,657.17 = 285,110.35 : x
  2. Step 2: Convert to fraction form
    477,183.49/715,657.17 = 285,110.35/x
  3. Step 3: Cross multiply
    477,183.49x = 715,657.17 × 285,110.35
  4. Step 4: Simplify right side
    477,183.49x = 204,041,266,218.71
  5. Step 5: Solve for x
    x = 204,041,266,218.71/477,183.49
  6. Step 6: Final answer
    x = 427,594.98

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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.