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Finding the Fourth Proportional to 442,620.30, 662,946.30 and 342,455.70

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Solution

The fourth proportional to 442,620.30, 662,946.30 and 342,455.70 is: 512,922.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,620.30 : 662,946.30 = 342,455.70 : x
  2. Step 2: Convert to fraction form
    442,620.30/662,946.30 = 342,455.70/x
  3. Step 3: Cross multiply
    442,620.30x = 662,946.30 × 342,455.70
  4. Step 4: Simplify right side
    442,620.30x = 227,029,739,228.91
  5. Step 5: Solve for x
    x = 227,029,739,228.91/442,620.30
  6. Step 6: Final answer
    x = 512,922.11

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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.