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Finding the Fourth Proportional to 563,735.63, 845,513.43 and 164,282.96

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Solution

The fourth proportional to 563,735.63, 845,513.43 and 164,282.96 is: 246,398.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,735.63 : 845,513.43 = 164,282.96 : x
  2. Step 2: Convert to fraction form
    563,735.63/845,513.43 = 164,282.96/x
  3. Step 3: Cross multiply
    563,735.63x = 845,513.43 × 164,282.96
  4. Step 4: Simplify right side
    563,735.63x = 138,903,452,148.92
  5. Step 5: Solve for x
    x = 138,903,452,148.92/563,735.63
  6. Step 6: Final answer
    x = 246,398.21

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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.