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Finding the Fourth Proportional to 563,774.89, 845,786.73 and 164,446.91

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Solution

The fourth proportional to 563,774.89, 845,786.73 and 164,446.91 is: 246,706.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,774.89 : 845,786.73 = 164,446.91 : x
  2. Step 2: Convert to fraction form
    563,774.89/845,786.73 = 164,446.91/x
  3. Step 3: Cross multiply
    563,774.89x = 845,786.73 × 164,446.91
  4. Step 4: Simplify right side
    563,774.89x = 139,087,014,267.50
  5. Step 5: Solve for x
    x = 139,087,014,267.50/563,774.89
  6. Step 6: Final answer
    x = 246,706.65

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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.