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Finding the Fourth Proportional to 288,577.40, 432,866.10 and 182,289.20

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Solution

The fourth proportional to 288,577.40, 432,866.10 and 182,289.20 is: 273,433.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,577.40 : 432,866.10 = 182,289.20 : x
  2. Step 2: Convert to fraction form
    288,577.40/432,866.10 = 182,289.20/x
  3. Step 3: Cross multiply
    288,577.40x = 432,866.10 × 182,289.20
  4. Step 4: Simplify right side
    288,577.40x = 78,906,815,076.12
  5. Step 5: Solve for x
    x = 78,906,815,076.12/288,577.40
  6. Step 6: Final answer
    x = 273,433.80

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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.