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Finding the Fourth Proportional to 535,648.25, 803,519.57 and 198,692.51

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Solution

The fourth proportional to 535,648.25, 803,519.57 and 198,692.51 is: 298,056.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,648.25 : 803,519.57 = 198,692.51 : x
  2. Step 2: Convert to fraction form
    535,648.25/803,519.57 = 198,692.51/x
  3. Step 3: Cross multiply
    535,648.25x = 803,519.57 × 198,692.51
  4. Step 4: Simplify right side
    535,648.25x = 159,653,319,203.96
  5. Step 5: Solve for x
    x = 159,653,319,203.96/535,648.25
  6. Step 6: Final answer
    x = 298,056.27

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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.