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Finding the Fourth Proportional to 411,944.40, 616,604.40 and 293,846.40

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Solution

The fourth proportional to 411,944.40, 616,604.40 and 293,846.40 is: 439,833.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,944.40 : 616,604.40 = 293,846.40 : x
  2. Step 2: Convert to fraction form
    411,944.40/616,604.40 = 293,846.40/x
  3. Step 3: Cross multiply
    411,944.40x = 616,604.40 × 293,846.40
  4. Step 4: Simplify right side
    411,944.40x = 181,186,983,164.16
  5. Step 5: Solve for x
    x = 181,186,983,164.16/411,944.40
  6. Step 6: Final answer
    x = 439,833.59

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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.