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Finding the Fourth Proportional to 513,677.22, 770,647.28 and 300,624.54

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Solution

The fourth proportional to 513,677.22, 770,647.28 and 300,624.54 is: 451,013.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,677.22 : 770,647.28 = 300,624.54 : x
  2. Step 2: Convert to fraction form
    513,677.22/770,647.28 = 300,624.54/x
  3. Step 3: Cross multiply
    513,677.22x = 770,647.28 × 300,624.54
  4. Step 4: Simplify right side
    513,677.22x = 231,675,482,549.13
  5. Step 5: Solve for x
    x = 231,675,482,549.13/513,677.22
  6. Step 6: Final answer
    x = 451,013.74

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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.