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Finding the Fourth Proportional to 301,789.74, 416,506.08 and 180,997.56

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Solution

The fourth proportional to 301,789.74, 416,506.08 and 180,997.56 is: 249,798.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,789.74 : 416,506.08 = 180,997.56 : x
  2. Step 2: Convert to fraction form
    301,789.74/416,506.08 = 180,997.56/x
  3. Step 3: Cross multiply
    301,789.74x = 416,506.08 × 180,997.56
  4. Step 4: Simplify right side
    301,789.74x = 75,386,584,205.16
  5. Step 5: Solve for x
    x = 75,386,584,205.16/301,789.74
  6. Step 6: Final answer
    x = 249,798.37

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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.