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Finding the Fourth Proportional to 564,692.88, 847,124.37 and 165,283.50

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Solution

The fourth proportional to 564,692.88, 847,124.37 and 165,283.50 is: 247,950.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,692.88 : 847,124.37 = 165,283.50 : x
  2. Step 2: Convert to fraction form
    564,692.88/847,124.37 = 165,283.50/x
  3. Step 3: Cross multiply
    564,692.88x = 847,124.37 × 165,283.50
  4. Step 4: Simplify right side
    564,692.88x = 140,015,680,808.90
  5. Step 5: Solve for x
    x = 140,015,680,808.90/564,692.88
  6. Step 6: Final answer
    x = 247,950.14

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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.