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Finding the Fourth Proportional to 312,692.04, 469,031.57 and 76,035.96

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Solution

The fourth proportional to 312,692.04, 469,031.57 and 76,035.96 is: 114,052.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,692.04 : 469,031.57 = 76,035.96 : x
  2. Step 2: Convert to fraction form
    312,692.04/469,031.57 = 76,035.96/x
  3. Step 3: Cross multiply
    312,692.04x = 469,031.57 × 76,035.96
  4. Step 4: Simplify right side
    312,692.04x = 35,663,265,695.26
  5. Step 5: Solve for x
    x = 35,663,265,695.26/312,692.04
  6. Step 6: Final answer
    x = 114,052.36

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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.