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Finding the Fourth Proportional to 267,417.35, 401,122.94 and 65,014.61

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Solution

The fourth proportional to 267,417.35, 401,122.94 and 65,014.61 is: 97,521.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,417.35 : 401,122.94 = 65,014.61 : x
  2. Step 2: Convert to fraction form
    267,417.35/401,122.94 = 65,014.61/x
  3. Step 3: Cross multiply
    267,417.35x = 401,122.94 × 65,014.61
  4. Step 4: Simplify right side
    267,417.35x = 26,078,849,175.47
  5. Step 5: Solve for x
    x = 26,078,849,175.47/267,417.35
  6. Step 6: Final answer
    x = 97,521.16

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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.