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Finding the Fourth Proportional to 288,796.80, 433,224.15 and 99,232.20

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Solution

The fourth proportional to 288,796.80, 433,224.15 and 99,232.20 is: 148,858.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,796.80 : 433,224.15 = 99,232.20 : x
  2. Step 2: Convert to fraction form
    288,796.80/433,224.15 = 99,232.20/x
  3. Step 3: Cross multiply
    288,796.80x = 433,224.15 × 99,232.20
  4. Step 4: Simplify right side
    288,796.80x = 42,989,785,497.63
  5. Step 5: Solve for x
    x = 42,989,785,497.63/288,796.80
  6. Step 6: Final answer
    x = 148,858.25

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1.5x scale

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.