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Finding the Fourth Proportional to 398,474.40, 597,871.80 and 161,835.60

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Solution

The fourth proportional to 398,474.40, 597,871.80 and 161,835.60 is: 242,818.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,474.40 : 597,871.80 = 161,835.60 : x
  2. Step 2: Convert to fraction form
    398,474.40/597,871.80 = 161,835.60/x
  3. Step 3: Cross multiply
    398,474.40x = 597,871.80 × 161,835.60
  4. Step 4: Simplify right side
    398,474.40x = 96,756,941,476.08
  5. Step 5: Solve for x
    x = 96,756,941,476.08/398,474.40
  6. Step 6: Final answer
    x = 242,818.46

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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.