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Finding the Fourth Proportional to 481,515.78, 664,053.18 and 413,511.42

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Solution

The fourth proportional to 481,515.78, 664,053.18 and 413,511.42 is: 570,269.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,515.78 : 664,053.18 = 413,511.42 : x
  2. Step 2: Convert to fraction form
    481,515.78/664,053.18 = 413,511.42/x
  3. Step 3: Cross multiply
    481,515.78x = 664,053.18 × 413,511.42
  4. Step 4: Simplify right side
    481,515.78x = 274,593,573,417.32
  5. Step 5: Solve for x
    x = 274,593,573,417.32/481,515.78
  6. Step 6: Final answer
    x = 570,269.11

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1.5x scale

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.