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Finding the Fourth Proportional to 452,294.67, 678,520.22 and 152,777.43

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Solution

The fourth proportional to 452,294.67, 678,520.22 and 152,777.43 is: 229,192.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,294.67 : 678,520.22 = 152,777.43 : x
  2. Step 2: Convert to fraction form
    452,294.67/678,520.22 = 152,777.43/x
  3. Step 3: Cross multiply
    452,294.67x = 678,520.22 × 152,777.43
  4. Step 4: Simplify right side
    452,294.67x = 103,662,574,650.75
  5. Step 5: Solve for x
    x = 103,662,574,650.75/452,294.67
  6. Step 6: Final answer
    x = 229,192.56

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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.