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Finding the Fourth Proportional to 411,497.30, 616,043.10 and 293,399.30

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Solution

The fourth proportional to 411,497.30, 616,043.10 and 293,399.30 is: 439,241.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,497.30 : 616,043.10 = 293,399.30 : x
  2. Step 2: Convert to fraction form
    411,497.30/616,043.10 = 293,399.30/x
  3. Step 3: Cross multiply
    411,497.30x = 616,043.10 × 293,399.30
  4. Step 4: Simplify right side
    411,497.30x = 180,746,614,309.83
  5. Step 5: Solve for x
    x = 180,746,614,309.83/411,497.30
  6. Step 6: Final answer
    x = 439,241.31

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1.5x scale

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.