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Finding the Fourth Proportional to 563,494.22, 845,290.54 and 142,770.09

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Solution

The fourth proportional to 563,494.22, 845,290.54 and 142,770.09 is: 214,167.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,494.22 : 845,290.54 = 142,770.09 : x
  2. Step 2: Convert to fraction form
    563,494.22/845,290.54 = 142,770.09/x
  3. Step 3: Cross multiply
    563,494.22x = 845,290.54 × 142,770.09
  4. Step 4: Simplify right side
    563,494.22x = 120,682,209,017.17
  5. Step 5: Solve for x
    x = 120,682,209,017.17/563,494.22
  6. Step 6: Final answer
    x = 214,167.61

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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.