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Finding the Fourth Proportional to 568,434.16, 784,441.02 and 313,784.74

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Solution

The fourth proportional to 568,434.16, 784,441.02 and 313,784.74 is: 433,023.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,434.16 : 784,441.02 = 313,784.74 : x
  2. Step 2: Convert to fraction form
    568,434.16/784,441.02 = 313,784.74/x
  3. Step 3: Cross multiply
    568,434.16x = 784,441.02 × 313,784.74
  4. Step 4: Simplify right side
    568,434.16x = 246,145,621,506.04
  5. Step 5: Solve for x
    x = 246,145,621,506.04/568,434.16
  6. Step 6: Final answer
    x = 433,023.98

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