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Finding the Fourth Proportional to 578,894.40, 866,498.40 and 413,006.40

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Solution

The fourth proportional to 578,894.40, 866,498.40 and 413,006.40 is: 618,194.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,894.40 : 866,498.40 = 413,006.40 : x
  2. Step 2: Convert to fraction form
    578,894.40/866,498.40 = 413,006.40/x
  3. Step 3: Cross multiply
    578,894.40x = 866,498.40 × 413,006.40
  4. Step 4: Simplify right side
    578,894.40x = 357,869,384,789.76
  5. Step 5: Solve for x
    x = 357,869,384,789.76/578,894.40
  6. Step 6: Final answer
    x = 618,194.59

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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.