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Finding the Fourth Proportional to 506,193.40, 759,299.10 and 151,211.80

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Solution

The fourth proportional to 506,193.40, 759,299.10 and 151,211.80 is: 226,820.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,193.40 : 759,299.10 = 151,211.80 : x
  2. Step 2: Convert to fraction form
    506,193.40/759,299.10 = 151,211.80/x
  3. Step 3: Cross multiply
    506,193.40x = 759,299.10 × 151,211.80
  4. Step 4: Simplify right side
    506,193.40x = 114,814,983,649.38
  5. Step 5: Solve for x
    x = 114,814,983,649.38/506,193.40
  6. Step 6: Final answer
    x = 226,820.39

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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.