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Finding the Fourth Proportional to 5,308,193.76, 7,960,978.34 and 2,275,215.66

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Solution

The fourth proportional to 5,308,193.76, 7,960,978.34 and 2,275,215.66 is: 3,412,261.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,308,193.76 : 7,960,978.34 = 2,275,215.66 : x
  2. Step 2: Convert to fraction form
    5,308,193.76/7,960,978.34 = 2,275,215.66/x
  3. Step 3: Cross multiply
    5,308,193.76x = 7,960,978.34 × 2,275,215.66
  4. Step 4: Simplify right side
    5,308,193.76x = 18,112,942,588,088.80
  5. Step 5: Solve for x
    x = 18,112,942,588,088.80/5,308,193.76
  6. Step 6: Final answer
    x = 3,412,261.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.