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Finding the Fourth Proportional to 613,508.85, 920,531.16 and 214,435.98

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Solution

The fourth proportional to 613,508.85, 920,531.16 and 214,435.98 is: 321,747.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,508.85 : 920,531.16 = 214,435.98 : x
  2. Step 2: Convert to fraction form
    613,508.85/920,531.16 = 214,435.98/x
  3. Step 3: Cross multiply
    613,508.85x = 920,531.16 × 214,435.98
  4. Step 4: Simplify right side
    613,508.85x = 197,395,001,415.14
  5. Step 5: Solve for x
    x = 197,395,001,415.14/613,508.85
  6. Step 6: Final answer
    x = 321,747.60

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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.