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Finding the Fourth Proportional to 302,647.80, 452,805.30 and 197,671.80

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Solution

The fourth proportional to 302,647.80, 452,805.30 and 197,671.80 is: 295,745.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,647.80 : 452,805.30 = 197,671.80 : x
  2. Step 2: Convert to fraction form
    302,647.80/452,805.30 = 197,671.80/x
  3. Step 3: Cross multiply
    302,647.80x = 452,805.30 × 197,671.80
  4. Step 4: Simplify right side
    302,647.80x = 89,506,838,700.54
  5. Step 5: Solve for x
    x = 89,506,838,700.54/302,647.80
  6. Step 6: Final answer
    x = 295,745.88

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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.