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Finding the Fourth Proportional to 441,497.40, 662,246.10 and 409,020.45

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Solution

The fourth proportional to 441,497.40, 662,246.10 and 409,020.45 is: 613,530.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,497.40 : 662,246.10 = 409,020.45 : x
  2. Step 2: Convert to fraction form
    441,497.40/662,246.10 = 409,020.45/x
  3. Step 3: Cross multiply
    441,497.40x = 662,246.10 × 409,020.45
  4. Step 4: Simplify right side
    441,497.40x = 270,872,197,832.75
  5. Step 5: Solve for x
    x = 270,872,197,832.75/441,497.40
  6. Step 6: Final answer
    x = 613,530.68

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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.