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Finding the Fourth Proportional to 397,054.59, 595,693.05 and 160,563.34

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Solution

The fourth proportional to 397,054.59, 595,693.05 and 160,563.34 is: 240,889.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,054.59 : 595,693.05 = 160,563.34 : x
  2. Step 2: Convert to fraction form
    397,054.59/595,693.05 = 160,563.34/x
  3. Step 3: Cross multiply
    397,054.59x = 595,693.05 × 160,563.34
  4. Step 4: Simplify right side
    397,054.59x = 95,646,465,722.79
  5. Step 5: Solve for x
    x = 95,646,465,722.79/397,054.59
  6. Step 6: Final answer
    x = 240,889.96

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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.