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Finding the Fourth Proportional to 369,398.07, 508,467.78 and 267,257.88

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Solution

The fourth proportional to 369,398.07, 508,467.78 and 267,257.88 is: 367,874.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,398.07 : 508,467.78 = 267,257.88 : x
  2. Step 2: Convert to fraction form
    369,398.07/508,467.78 = 267,257.88/x
  3. Step 3: Cross multiply
    369,398.07x = 508,467.78 × 267,257.88
  4. Step 4: Simplify right side
    369,398.07x = 135,892,020,931.11
  5. Step 5: Solve for x
    x = 135,892,020,931.11/369,398.07
  6. Step 6: Final answer
    x = 367,874.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.