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Finding the Fourth Proportional to 289,897.20, 434,845.80 and 132,433.20

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Solution

The fourth proportional to 289,897.20, 434,845.80 and 132,433.20 is: 198,649.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,897.20 : 434,845.80 = 132,433.20 : x
  2. Step 2: Convert to fraction form
    289,897.20/434,845.80 = 132,433.20/x
  3. Step 3: Cross multiply
    289,897.20x = 434,845.80 × 132,433.20
  4. Step 4: Simplify right side
    289,897.20x = 57,588,020,800.56
  5. Step 5: Solve for x
    x = 57,588,020,800.56/289,897.20
  6. Step 6: Final answer
    x = 198,649.80

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1.5x scale

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.