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Finding the Fourth Proportional to 401,460.92, 602,000.70 and 233,033.20

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Solution

The fourth proportional to 401,460.92, 602,000.70 and 233,033.20 is: 349,439.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,460.92 : 602,000.70 = 233,033.20 : x
  2. Step 2: Convert to fraction form
    401,460.92/602,000.70 = 233,033.20/x
  3. Step 3: Cross multiply
    401,460.92x = 602,000.70 × 233,033.20
  4. Step 4: Simplify right side
    401,460.92x = 140,286,149,523.24
  5. Step 5: Solve for x
    x = 140,286,149,523.24/401,460.92
  6. Step 6: Final answer
    x = 349,439.12

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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.