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Finding the Fourth Proportional to 401,114.61, 601,266.69 and 251,459.67

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Solution

The fourth proportional to 401,114.61, 601,266.69 and 251,459.67 is: 376,935.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,114.61 : 601,266.69 = 251,459.67 : x
  2. Step 2: Convert to fraction form
    401,114.61/601,266.69 = 251,459.67/x
  3. Step 3: Cross multiply
    401,114.61x = 601,266.69 × 251,459.67
  4. Step 4: Simplify right side
    401,114.61x = 151,194,323,449.39
  5. Step 5: Solve for x
    x = 151,194,323,449.39/401,114.61
  6. Step 6: Final answer
    x = 376,935.47

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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.