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Finding the Fourth Proportional to 442,822.40, 664,233.60 and 293,231.60

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Solution

The fourth proportional to 442,822.40, 664,233.60 and 293,231.60 is: 439,847.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,822.40 : 664,233.60 = 293,231.60 : x
  2. Step 2: Convert to fraction form
    442,822.40/664,233.60 = 293,231.60/x
  3. Step 3: Cross multiply
    442,822.40x = 664,233.60 × 293,231.60
  4. Step 4: Simplify right side
    442,822.40x = 194,774,281,301.76
  5. Step 5: Solve for x
    x = 194,774,281,301.76/442,822.40
  6. Step 6: Final answer
    x = 439,847.40

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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.