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Finding the Fourth Proportional to 288,003.80, 432,005.70 and 199,232.60

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Solution

The fourth proportional to 288,003.80, 432,005.70 and 199,232.60 is: 298,848.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,003.80 : 432,005.70 = 199,232.60 : x
  2. Step 2: Convert to fraction form
    288,003.80/432,005.70 = 199,232.60/x
  3. Step 3: Cross multiply
    288,003.80x = 432,005.70 × 199,232.60
  4. Step 4: Simplify right side
    288,003.80x = 86,069,618,825.82
  5. Step 5: Solve for x
    x = 86,069,618,825.82/288,003.80
  6. Step 6: Final answer
    x = 298,848.90

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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.