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Finding the Fourth Proportional to 497,770.94, 746,656.44 and 198,461.71

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Solution

The fourth proportional to 497,770.94, 746,656.44 and 198,461.71 is: 297,692.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,770.94 : 746,656.44 = 198,461.71 : x
  2. Step 2: Convert to fraction form
    497,770.94/746,656.44 = 198,461.71/x
  3. Step 3: Cross multiply
    497,770.94x = 746,656.44 × 198,461.71
  4. Step 4: Simplify right side
    497,770.94x = 148,182,713,864.91
  5. Step 5: Solve for x
    x = 148,182,713,864.91/497,770.94
  6. Step 6: Final answer
    x = 297,692.58

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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.