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Finding the Fourth Proportional to 586,142.40, 879,204.06 and 186,777.78

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Solution

The fourth proportional to 586,142.40, 879,204.06 and 186,777.78 is: 280,163.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,142.40 : 879,204.06 = 186,777.78 : x
  2. Step 2: Convert to fraction form
    586,142.40/879,204.06 = 186,777.78/x
  3. Step 3: Cross multiply
    586,142.40x = 879,204.06 × 186,777.78
  4. Step 4: Simplify right side
    586,142.40x = 164,215,782,493.79
  5. Step 5: Solve for x
    x = 164,215,782,493.79/586,142.40
  6. Step 6: Final answer
    x = 280,163.63

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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.