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Finding the Fourth Proportional to 398,271.22, 596,944.59 and 161,319.22

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Solution

The fourth proportional to 398,271.22, 596,944.59 and 161,319.22 is: 241,791.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,271.22 : 596,944.59 = 161,319.22 : x
  2. Step 2: Convert to fraction form
    398,271.22/596,944.59 = 161,319.22/x
  3. Step 3: Cross multiply
    398,271.22x = 596,944.59 × 161,319.22
  4. Step 4: Simplify right side
    398,271.22x = 96,298,635,642.02
  5. Step 5: Solve for x
    x = 96,298,635,642.02/398,271.22
  6. Step 6: Final answer
    x = 241,791.60

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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.