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Finding the Fourth Proportional to 398,300.60, 596,990.10 and 161,526.20

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Solution

The fourth proportional to 398,300.60, 596,990.10 and 161,526.20 is: 242,102.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,300.60 : 596,990.10 = 161,526.20 : x
  2. Step 2: Convert to fraction form
    398,300.60/596,990.10 = 161,526.20/x
  3. Step 3: Cross multiply
    398,300.60x = 596,990.10 × 161,526.20
  4. Step 4: Simplify right side
    398,300.60x = 96,429,542,290.62
  5. Step 5: Solve for x
    x = 96,429,542,290.62/398,300.60
  6. Step 6: Final answer
    x = 242,102.43

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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.