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Finding the Fourth Proportional to 290,533.56, 400,973.70 and 163,209.24

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Solution

The fourth proportional to 290,533.56, 400,973.70 and 163,209.24 is: 225,249.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,533.56 : 400,973.70 = 163,209.24 : x
  2. Step 2: Convert to fraction form
    290,533.56/400,973.70 = 163,209.24/x
  3. Step 3: Cross multiply
    290,533.56x = 400,973.70 × 163,209.24
  4. Step 4: Simplify right side
    290,533.56x = 65,442,612,836.99
  5. Step 5: Solve for x
    x = 65,442,612,836.99/290,533.56
  6. Step 6: Final answer
    x = 225,249.75

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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.