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Finding the Fourth Proportional to 461,960.80, 692,960.64 and 146,410.72

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Solution

The fourth proportional to 461,960.80, 692,960.64 and 146,410.72 is: 219,622.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,960.80 : 692,960.64 = 146,410.72 : x
  2. Step 2: Convert to fraction form
    461,960.80/692,960.64 = 146,410.72/x
  3. Step 3: Cross multiply
    461,960.80x = 692,960.64 × 146,410.72
  4. Step 4: Simplify right side
    461,960.80x = 101,456,866,234.06
  5. Step 5: Solve for x
    x = 101,456,866,234.06/461,960.80
  6. Step 6: Final answer
    x = 219,622.24

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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.