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Finding the Fourth Proportional to 461,976.40, 692,989.44 and 146,457.91

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Solution

The fourth proportional to 461,976.40, 692,989.44 and 146,457.91 is: 219,694.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,976.40 : 692,989.44 = 146,457.91 : x
  2. Step 2: Convert to fraction form
    461,976.40/692,989.44 = 146,457.91/x
  3. Step 3: Cross multiply
    461,976.40x = 692,989.44 × 146,457.91
  4. Step 4: Simplify right side
    461,976.40x = 101,493,785,034.47
  5. Step 5: Solve for x
    x = 101,493,785,034.47/461,976.40
  6. Step 6: Final answer
    x = 219,694.74

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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.