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Finding the Fourth Proportional to 344,867.12, 475,916.52 and 193,964

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Solution

The fourth proportional to 344,867.12, 475,916.52 and 193,964 is: 267,670.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,867.12 : 475,916.52 = 193,964 : x
  2. Step 2: Convert to fraction form
    344,867.12/475,916.52 = 193,964/x
  3. Step 3: Cross multiply
    344,867.12x = 475,916.52 × 193,964
  4. Step 4: Simplify right side
    344,867.12x = 92,310,671,885.28
  5. Step 5: Solve for x
    x = 92,310,671,885.28/344,867.12
  6. Step 6: Final answer
    x = 267,670.26

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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.