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Finding the Fourth Proportional to 568,682.64, 784,779.03 and 314,033.76

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Solution

The fourth proportional to 568,682.64, 784,779.03 and 314,033.76 is: 433,364.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,682.64 : 784,779.03 = 314,033.76 : x
  2. Step 2: Convert to fraction form
    568,682.64/784,779.03 = 314,033.76/x
  3. Step 3: Cross multiply
    568,682.64x = 784,779.03 × 314,033.76
  4. Step 4: Simplify right side
    568,682.64x = 246,447,109,560.05
  5. Step 5: Solve for x
    x = 246,447,109,560.05/568,682.64
  6. Step 6: Final answer
    x = 433,364.92

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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.