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Finding the Fourth Proportional to 577,348.70, 865,801.64 and 198,198.77

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Solution

The fourth proportional to 577,348.70, 865,801.64 and 198,198.77 is: 297,222.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,348.70 : 865,801.64 = 198,198.77 : x
  2. Step 2: Convert to fraction form
    577,348.70/865,801.64 = 198,198.77/x
  3. Step 3: Cross multiply
    577,348.70x = 865,801.64 × 198,198.77
  4. Step 4: Simplify right side
    577,348.70x = 171,600,816,278.47
  5. Step 5: Solve for x
    x = 171,600,816,278.47/577,348.70
  6. Step 6: Final answer
    x = 297,222.14

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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.