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Finding the Fourth Proportional to 330,024.62, 494,957.62 and 152,360.98

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Solution

The fourth proportional to 330,024.62, 494,957.62 and 152,360.98 is: 228,504.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,024.62 : 494,957.62 = 152,360.98 : x
  2. Step 2: Convert to fraction form
    330,024.62/494,957.62 = 152,360.98/x
  3. Step 3: Cross multiply
    330,024.62x = 494,957.62 × 152,360.98
  4. Step 4: Simplify right side
    330,024.62x = 75,412,228,041.67
  5. Step 5: Solve for x
    x = 75,412,228,041.67/330,024.62
  6. Step 6: Final answer
    x = 228,504.86

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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.