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Finding the Fourth Proportional to 471,310.20, 706,965.30 and 282,353.40

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Solution

The fourth proportional to 471,310.20, 706,965.30 and 282,353.40 is: 423,530.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,310.20 : 706,965.30 = 282,353.40 : x
  2. Step 2: Convert to fraction form
    471,310.20/706,965.30 = 282,353.40/x
  3. Step 3: Cross multiply
    471,310.20x = 706,965.30 × 282,353.40
  4. Step 4: Simplify right side
    471,310.20x = 199,614,056,137.02
  5. Step 5: Solve for x
    x = 199,614,056,137.02/471,310.20
  6. Step 6: Final answer
    x = 423,530.10

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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.