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Finding the Fourth Proportional to 564,919.70, 847,408.70 and 144,199.22

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Solution

The fourth proportional to 564,919.70, 847,408.70 and 144,199.22 is: 216,306.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,919.70 : 847,408.70 = 144,199.22 : x
  2. Step 2: Convert to fraction form
    564,919.70/847,408.70 = 144,199.22/x
  3. Step 3: Cross multiply
    564,919.70x = 847,408.70 × 144,199.22
  4. Step 4: Simplify right side
    564,919.70x = 122,195,673,561.21
  5. Step 5: Solve for x
    x = 122,195,673,561.21/564,919.70
  6. Step 6: Final answer
    x = 216,306.27

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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.