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Finding the Fourth Proportional to 506,261.40, 759,401.10 and 151,279.80

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Solution

The fourth proportional to 506,261.40, 759,401.10 and 151,279.80 is: 226,922.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,261.40 : 759,401.10 = 151,279.80 : x
  2. Step 2: Convert to fraction form
    506,261.40/759,401.10 = 151,279.80/x
  3. Step 3: Cross multiply
    506,261.40x = 759,401.10 × 151,279.80
  4. Step 4: Simplify right side
    506,261.40x = 114,882,046,527.78
  5. Step 5: Solve for x
    x = 114,882,046,527.78/506,261.40
  6. Step 6: Final answer
    x = 226,922.39

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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.