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Finding the Fourth Proportional to 401,066.20, 601,404.90 and 223,384.60

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Solution

The fourth proportional to 401,066.20, 601,404.90 and 223,384.60 is: 334,968.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,066.20 : 601,404.90 = 223,384.60 : x
  2. Step 2: Convert to fraction form
    401,066.20/601,404.90 = 223,384.60/x
  3. Step 3: Cross multiply
    401,066.20x = 601,404.90 × 223,384.60
  4. Step 4: Simplify right side
    401,066.20x = 134,344,593,024.54
  5. Step 5: Solve for x
    x = 134,344,593,024.54/401,066.20
  6. Step 6: Final answer
    x = 334,968.62

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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.