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Finding the Fourth Proportional to 563,494.30, 845,379.76 and 164,138.78

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Solution

The fourth proportional to 563,494.30, 845,379.76 and 164,138.78 is: 246,248.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,494.30 : 845,379.76 = 164,138.78 : x
  2. Step 2: Convert to fraction form
    563,494.30/845,379.76 = 164,138.78/x
  3. Step 3: Cross multiply
    563,494.30x = 845,379.76 × 164,138.78
  4. Step 4: Simplify right side
    563,494.30x = 138,759,602,443.09
  5. Step 5: Solve for x
    x = 138,759,602,443.09/563,494.30
  6. Step 6: Final answer
    x = 246,248.46

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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.