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Finding the Fourth Proportional to 332,810.70, 499,216.05 and 146,186.70

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Solution

The fourth proportional to 332,810.70, 499,216.05 and 146,186.70 is: 219,280.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,810.70 : 499,216.05 = 146,186.70 : x
  2. Step 2: Convert to fraction form
    332,810.70/499,216.05 = 146,186.70/x
  3. Step 3: Cross multiply
    332,810.70x = 499,216.05 × 146,186.70
  4. Step 4: Simplify right side
    332,810.70x = 72,978,746,936.54
  5. Step 5: Solve for x
    x = 72,978,746,936.54/332,810.70
  6. Step 6: Final answer
    x = 219,280.05

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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.