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Finding the Fourth Proportional to 398,016.60, 596,150.10 and 161,237.40

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Solution

The fourth proportional to 398,016.60, 596,150.10 and 161,237.40 is: 241,501.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,016.60 : 596,150.10 = 161,237.40 : x
  2. Step 2: Convert to fraction form
    398,016.60/596,150.10 = 161,237.40/x
  3. Step 3: Cross multiply
    398,016.60x = 596,150.10 × 161,237.40
  4. Step 4: Simplify right side
    398,016.60x = 96,121,692,133.74
  5. Step 5: Solve for x
    x = 96,121,692,133.74/398,016.60
  6. Step 6: Final answer
    x = 241,501.72

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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.