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Finding the Fourth Proportional to 344,502, 475,457.40 and 193,599

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Solution

The fourth proportional to 344,502, 475,457.40 and 193,599 is: 267,191.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,502 : 475,457.40 = 193,599 : x
  2. Step 2: Convert to fraction form
    344,502/475,457.40 = 193,599/x
  3. Step 3: Cross multiply
    344,502x = 475,457.40 × 193,599
  4. Step 4: Simplify right side
    344,502x = 92,048,077,182.60
  5. Step 5: Solve for x
    x = 92,048,077,182.60/344,502
  6. Step 6: Final answer
    x = 267,191.71

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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.