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Finding the Fourth Proportional to 535,647.75, 803,518.82 and 198,692.01

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Solution

The fourth proportional to 535,647.75, 803,518.82 and 198,692.01 is: 298,055.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,647.75 : 803,518.82 = 198,692.01 : x
  2. Step 2: Convert to fraction form
    535,647.75/803,518.82 = 198,692.01/x
  3. Step 3: Cross multiply
    535,647.75x = 803,518.82 × 198,692.01
  4. Step 4: Simplify right side
    535,647.75x = 159,652,768,425.17
  5. Step 5: Solve for x
    x = 159,652,768,425.17/535,647.75
  6. Step 6: Final answer
    x = 298,055.52

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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.