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Finding the Fourth Proportional to 600,823.44, 829,079.64 and 359,057.88

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Solution

The fourth proportional to 600,823.44, 829,079.64 and 359,057.88 is: 495,465.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,823.44 : 829,079.64 = 359,057.88 : x
  2. Step 2: Convert to fraction form
    600,823.44/829,079.64 = 359,057.88/x
  3. Step 3: Cross multiply
    600,823.44x = 829,079.64 × 359,057.88
  4. Step 4: Simplify right side
    600,823.44x = 297,687,577,889.56
  5. Step 5: Solve for x
    x = 297,687,577,889.56/600,823.44
  6. Step 6: Final answer
    x = 495,465.99

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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.