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Finding the Fourth Proportional to 496,678.23, 745,024.46 and 141,692.27

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Solution

The fourth proportional to 496,678.23, 745,024.46 and 141,692.27 is: 212,540.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,678.23 : 745,024.46 = 141,692.27 : x
  2. Step 2: Convert to fraction form
    496,678.23/745,024.46 = 141,692.27/x
  3. Step 3: Cross multiply
    496,678.23x = 745,024.46 × 141,692.27
  4. Step 4: Simplify right side
    496,678.23x = 105,564,202,509.34
  5. Step 5: Solve for x
    x = 105,564,202,509.34/496,678.23
  6. Step 6: Final answer
    x = 212,540.43

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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.