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Finding the Fourth Proportional to 311,055.80, 466,583.70 and 305,871.80

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Solution

The fourth proportional to 311,055.80, 466,583.70 and 305,871.80 is: 458,807.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,055.80 : 466,583.70 = 305,871.80 : x
  2. Step 2: Convert to fraction form
    311,055.80/466,583.70 = 305,871.80/x
  3. Step 3: Cross multiply
    311,055.80x = 466,583.70 × 305,871.80
  4. Step 4: Simplify right side
    311,055.80x = 142,714,796,169.66
  5. Step 5: Solve for x
    x = 142,714,796,169.66/311,055.80
  6. Step 6: Final answer
    x = 458,807.70

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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.