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Finding the Fourth Proportional to 302,649.80, 452,808.30 and 197,673.80

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Solution

The fourth proportional to 302,649.80, 452,808.30 and 197,673.80 is: 295,748.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,649.80 : 452,808.30 = 197,673.80 : x
  2. Step 2: Convert to fraction form
    302,649.80/452,808.30 = 197,673.80/x
  3. Step 3: Cross multiply
    302,649.80x = 452,808.30 × 197,673.80
  4. Step 4: Simplify right side
    302,649.80x = 89,508,337,332.54
  5. Step 5: Solve for x
    x = 89,508,337,332.54/302,649.80
  6. Step 6: Final answer
    x = 295,748.87

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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.