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Finding the Fourth Proportional to 568,655.82, 784,730.03 and 314,001.54

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Solution

The fourth proportional to 568,655.82, 784,730.03 and 314,001.54 is: 433,313.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,655.82 : 784,730.03 = 314,001.54 : x
  2. Step 2: Convert to fraction form
    568,655.82/784,730.03 = 314,001.54/x
  3. Step 3: Cross multiply
    568,655.82x = 784,730.03 × 314,001.54
  4. Step 4: Simplify right side
    568,655.82x = 246,406,436,334.24
  5. Step 5: Solve for x
    x = 246,406,436,334.24/568,655.82
  6. Step 6: Final answer
    x = 433,313.84

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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.