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Finding the Fourth Proportional to 563,464.56, 845,335.52 and 164,109.12

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Solution

The fourth proportional to 563,464.56, 845,335.52 and 164,109.12 is: 246,204.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,464.56 : 845,335.52 = 164,109.12 : x
  2. Step 2: Convert to fraction form
    563,464.56/845,335.52 = 164,109.12/x
  3. Step 3: Cross multiply
    563,464.56x = 845,335.52 × 164,109.12
  4. Step 4: Simplify right side
    563,464.56x = 138,727,268,291.94
  5. Step 5: Solve for x
    x = 138,727,268,291.94/563,464.56
  6. Step 6: Final answer
    x = 246,204.07

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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.