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Finding the Fourth Proportional to 568,465.88, 784,485.42 and 313,819.16

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Solution

The fourth proportional to 568,465.88, 784,485.42 and 313,819.16 is: 433,071.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,465.88 : 784,485.42 = 313,819.16 : x
  2. Step 2: Convert to fraction form
    568,465.88/784,485.42 = 313,819.16/x
  3. Step 3: Cross multiply
    568,465.88x = 784,485.42 × 313,819.16
  4. Step 4: Simplify right side
    568,465.88x = 246,186,555,536.65
  5. Step 5: Solve for x
    x = 246,186,555,536.65/568,465.88
  6. Step 6: Final answer
    x = 433,071.82

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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.