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Finding the Fourth Proportional to 282,621.70, 423,994.83 and 156,445.98

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Solution

The fourth proportional to 282,621.70, 423,994.83 and 156,445.98 is: 234,703.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,621.70 : 423,994.83 = 156,445.98 : x
  2. Step 2: Convert to fraction form
    282,621.70/423,994.83 = 156,445.98/x
  3. Step 3: Cross multiply
    282,621.70x = 423,994.83 × 156,445.98
  4. Step 4: Simplify right side
    282,621.70x = 66,332,285,912.05
  5. Step 5: Solve for x
    x = 66,332,285,912.05/282,621.70
  6. Step 6: Final answer
    x = 234,703.45

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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.