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Finding the Fourth Proportional to 737,348, 1,017,523.50 and 410,658.80

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Solution

The fourth proportional to 737,348, 1,017,523.50 and 410,658.80 is: 566,699.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,348 : 1,017,523.50 = 410,658.80 : x
  2. Step 2: Convert to fraction form
    737,348/1,017,523.50 = 410,658.80/x
  3. Step 3: Cross multiply
    737,348x = 1,017,523.50 × 410,658.80
  4. Step 4: Simplify right side
    737,348x = 417,854,979,481.80
  5. Step 5: Solve for x
    x = 417,854,979,481.80/737,348
  6. Step 6: Final answer
    x = 566,699.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.