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Finding the Fourth Proportional to 343,496.14, 473,985.27 and 198,301.34

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Solution

The fourth proportional to 343,496.14, 473,985.27 and 198,301.34 is: 273,633.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,496.14 : 473,985.27 = 198,301.34 : x
  2. Step 2: Convert to fraction form
    343,496.14/473,985.27 = 198,301.34/x
  3. Step 3: Cross multiply
    343,496.14x = 473,985.27 × 198,301.34
  4. Step 4: Simplify right side
    343,496.14x = 93,991,915,366.23
  5. Step 5: Solve for x
    x = 93,991,915,366.23/343,496.14
  6. Step 6: Final answer
    x = 273,633.11

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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.