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Finding the Fourth Proportional to 411,951.40, 616,614.90 and 293,853.40

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Solution

The fourth proportional to 411,951.40, 616,614.90 and 293,853.40 is: 439,844.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,951.40 : 616,614.90 = 293,853.40 : x
  2. Step 2: Convert to fraction form
    411,951.40/616,614.90 = 293,853.40/x
  3. Step 3: Cross multiply
    411,951.40x = 616,614.90 × 293,853.40
  4. Step 4: Simplify right side
    411,951.40x = 181,194,384,855.66
  5. Step 5: Solve for x
    x = 181,194,384,855.66/411,951.40
  6. Step 6: Final answer
    x = 439,844.08

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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.