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Finding the Fourth Proportional to 446,269.84, 615,700.32 and 285,217.80

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Solution

The fourth proportional to 446,269.84, 615,700.32 and 285,217.80 is: 393,503.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,269.84 : 615,700.32 = 285,217.80 : x
  2. Step 2: Convert to fraction form
    446,269.84/615,700.32 = 285,217.80/x
  3. Step 3: Cross multiply
    446,269.84x = 615,700.32 × 285,217.80
  4. Step 4: Simplify right side
    446,269.84x = 175,608,690,729.70
  5. Step 5: Solve for x
    x = 175,608,690,729.70/446,269.84
  6. Step 6: Final answer
    x = 393,503.38

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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.