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Finding the Fourth Proportional to 586,885.88, 809,910.91 and 341,864.34

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Solution

The fourth proportional to 586,885.88, 809,910.91 and 341,864.34 is: 471,777.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,885.88 : 809,910.91 = 341,864.34 : x
  2. Step 2: Convert to fraction form
    586,885.88/809,910.91 = 341,864.34/x
  3. Step 3: Cross multiply
    586,885.88x = 809,910.91 × 341,864.34
  4. Step 4: Simplify right side
    586,885.88x = 276,879,658,705.95
  5. Step 5: Solve for x
    x = 276,879,658,705.95/586,885.88
  6. Step 6: Final answer
    x = 471,777.68

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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.