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Finding the Fourth Proportional to 288,002.70, 432,004.05 and 280,226.70

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Solution

The fourth proportional to 288,002.70, 432,004.05 and 280,226.70 is: 420,340.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,002.70 : 432,004.05 = 280,226.70 : x
  2. Step 2: Convert to fraction form
    288,002.70/432,004.05 = 280,226.70/x
  3. Step 3: Cross multiply
    288,002.70x = 432,004.05 × 280,226.70
  4. Step 4: Simplify right side
    288,002.70x = 121,059,069,318.14
  5. Step 5: Solve for x
    x = 121,059,069,318.14/288,002.70
  6. Step 6: Final answer
    x = 420,340.05

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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.