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Finding the Fourth Proportional to 568,586.52, 784,639.98 and 313,931.16

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Solution

The fourth proportional to 568,586.52, 784,639.98 and 313,931.16 is: 433,219.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,586.52 : 784,639.98 = 313,931.16 : x
  2. Step 2: Convert to fraction form
    568,586.52/784,639.98 = 313,931.16/x
  3. Step 3: Cross multiply
    568,586.52x = 784,639.98 × 313,931.16
  4. Step 4: Simplify right side
    568,586.52x = 246,322,939,103.78
  5. Step 5: Solve for x
    x = 246,322,939,103.78/568,586.52
  6. Step 6: Final answer
    x = 433,219.80

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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.