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Finding the Fourth Proportional to 401,263.42, 601,720.14 and 151,770.46

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Solution

The fourth proportional to 401,263.42, 601,720.14 and 151,770.46 is: 227,589.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,263.42 : 601,720.14 = 151,770.46 : x
  2. Step 2: Convert to fraction form
    401,263.42/601,720.14 = 151,770.46/x
  3. Step 3: Cross multiply
    401,263.42x = 601,720.14 × 151,770.46
  4. Step 4: Simplify right side
    401,263.42x = 91,323,342,439.06
  5. Step 5: Solve for x
    x = 91,323,342,439.06/401,263.42
  6. Step 6: Final answer
    x = 227,589.50

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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.