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Finding the Fourth Proportional to 401,262.42, 601,718.64 and 151,769.46

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Solution

The fourth proportional to 401,262.42, 601,718.64 and 151,769.46 is: 227,588.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,262.42 : 601,718.64 = 151,769.46 : x
  2. Step 2: Convert to fraction form
    401,262.42/601,718.64 = 151,769.46/x
  3. Step 3: Cross multiply
    401,262.42x = 601,718.64 × 151,769.46
  4. Step 4: Simplify right side
    401,262.42x = 91,322,513,064.73
  5. Step 5: Solve for x
    x = 91,322,513,064.73/401,262.42
  6. Step 6: Final answer
    x = 227,588.00

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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.