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Finding the Fourth Proportional to 567,163.74, 782,084.08 and 510,039.30

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Solution

The fourth proportional to 567,163.74, 782,084.08 and 510,039.30 is: 703,312.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,163.74 : 782,084.08 = 510,039.30 : x
  2. Step 2: Convert to fraction form
    567,163.74/782,084.08 = 510,039.30/x
  3. Step 3: Cross multiply
    567,163.74x = 782,084.08 × 510,039.30
  4. Step 4: Simplify right side
    567,163.74x = 398,893,616,704.34
  5. Step 5: Solve for x
    x = 398,893,616,704.34/567,163.74
  6. Step 6: Final answer
    x = 703,312.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.