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Finding the Fourth Proportional to 568,308.14, 784,263.62 and 313,657.50

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Solution

The fourth proportional to 568,308.14, 784,263.62 and 313,657.50 is: 432,846.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,308.14 : 784,263.62 = 313,657.50 : x
  2. Step 2: Convert to fraction form
    568,308.14/784,263.62 = 313,657.50/x
  3. Step 3: Cross multiply
    568,308.14x = 784,263.62 × 313,657.50
  4. Step 4: Simplify right side
    568,308.14x = 245,990,164,821.86
  5. Step 5: Solve for x
    x = 245,990,164,821.86/568,308.14
  6. Step 6: Final answer
    x = 432,846.46

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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.