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Finding the Fourth Proportional to 442,807.40, 664,211.10 and 293,216.60

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Solution

The fourth proportional to 442,807.40, 664,211.10 and 293,216.60 is: 439,824.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,807.40 : 664,211.10 = 293,216.60 : x
  2. Step 2: Convert to fraction form
    442,807.40/664,211.10 = 293,216.60/x
  3. Step 3: Cross multiply
    442,807.40x = 664,211.10 × 293,216.60
  4. Step 4: Simplify right side
    442,807.40x = 194,757,720,424.26
  5. Step 5: Solve for x
    x = 194,757,720,424.26/442,807.40
  6. Step 6: Final answer
    x = 439,824.90

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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.