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Finding the Fourth Proportional to 333,100, 459,684.48 and 182,200.24

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Solution

The fourth proportional to 333,100, 459,684.48 and 182,200.24 is: 251,439.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,100 : 459,684.48 = 182,200.24 : x
  2. Step 2: Convert to fraction form
    333,100/459,684.48 = 182,200.24/x
  3. Step 3: Cross multiply
    333,100x = 459,684.48 × 182,200.24
  4. Step 4: Simplify right side
    333,100x = 83,754,622,580.28
  5. Step 5: Solve for x
    x = 83,754,622,580.28/333,100
  6. Step 6: Final answer
    x = 251,439.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.