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Finding the Fourth Proportional to 300,980.71, 415,366.48 and 180,098.84

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Solution

The fourth proportional to 300,980.71, 415,366.48 and 180,098.84 is: 248,544.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,980.71 : 415,366.48 = 180,098.84 : x
  2. Step 2: Convert to fraction form
    300,980.71/415,366.48 = 180,098.84/x
  3. Step 3: Cross multiply
    300,980.71x = 415,366.48 × 180,098.84
  4. Step 4: Simplify right side
    300,980.71x = 74,807,022,486.42
  5. Step 5: Solve for x
    x = 74,807,022,486.42/300,980.71
  6. Step 6: Final answer
    x = 248,544.24

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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.