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Finding the Fourth Proportional to 563,748.26, 845,532.32 and 164,295.56

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Solution

The fourth proportional to 563,748.26, 845,532.32 and 164,295.56 is: 246,417.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,748.26 : 845,532.32 = 164,295.56 : x
  2. Step 2: Convert to fraction form
    563,748.26/845,532.32 = 164,295.56/x
  3. Step 3: Cross multiply
    563,748.26x = 845,532.32 × 164,295.56
  4. Step 4: Simplify right side
    563,748.26x = 138,917,206,012.50
  5. Step 5: Solve for x
    x = 138,917,206,012.50/563,748.26
  6. Step 6: Final answer
    x = 246,417.09

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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.