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Finding the Fourth Proportional to 963,692.86, 1,445,408.06 and 253,661.44

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Solution

The fourth proportional to 963,692.86, 1,445,408.06 and 253,661.44 is: 380,457.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    963,692.86 : 1,445,408.06 = 253,661.44 : x
  2. Step 2: Convert to fraction form
    963,692.86/1,445,408.06 = 253,661.44/x
  3. Step 3: Cross multiply
    963,692.86x = 1,445,408.06 × 253,661.44
  4. Step 4: Simplify right side
    963,692.86x = 366,644,282,660.17
  5. Step 5: Solve for x
    x = 366,644,282,660.17/963,692.86
  6. Step 6: Final answer
    x = 380,457.61

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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.