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Finding the Fourth Proportional to 401,269.66, 601,729.46 and 151,776.70

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Solution

The fourth proportional to 401,269.66, 601,729.46 and 151,776.70 is: 227,598.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,269.66 : 601,729.46 = 151,776.70 : x
  2. Step 2: Convert to fraction form
    401,269.66/601,729.46 = 151,776.70/x
  3. Step 3: Cross multiply
    401,269.66x = 601,729.46 × 151,776.70
  4. Step 4: Simplify right side
    401,269.66x = 91,328,513,422.27
  5. Step 5: Solve for x
    x = 91,328,513,422.27/401,269.66
  6. Step 6: Final answer
    x = 227,598.85

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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.