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Finding the Fourth Proportional to 565,276.24, 780,044.52 and 323,560.72

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Solution

The fourth proportional to 565,276.24, 780,044.52 and 323,560.72 is: 446,492.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,276.24 : 780,044.52 = 323,560.72 : x
  2. Step 2: Convert to fraction form
    565,276.24/780,044.52 = 323,560.72/x
  3. Step 3: Cross multiply
    565,276.24x = 780,044.52 × 323,560.72
  4. Step 4: Simplify right side
    565,276.24x = 252,391,766,523.25
  5. Step 5: Solve for x
    x = 252,391,766,523.25/565,276.24
  6. Step 6: Final answer
    x = 446,492.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.