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Finding the Fourth Proportional to 401,233.17, 601,674.80 and 151,740.21

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Solution

The fourth proportional to 401,233.17, 601,674.80 and 151,740.21 is: 227,544.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,233.17 : 601,674.80 = 151,740.21 : x
  2. Step 2: Convert to fraction form
    401,233.17/601,674.80 = 151,740.21/x
  3. Step 3: Cross multiply
    401,233.17x = 601,674.80 × 151,740.21
  4. Step 4: Simplify right side
    401,233.17x = 91,298,260,522.46
  5. Step 5: Solve for x
    x = 91,298,260,522.46/401,233.17
  6. Step 6: Final answer
    x = 227,544.15

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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.