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Finding the Fourth Proportional to 343,292.80, 473,760.30 and 214,307.68

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Solution

The fourth proportional to 343,292.80, 473,760.30 and 214,307.68 is: 295,754.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,292.80 : 473,760.30 = 214,307.68 : x
  2. Step 2: Convert to fraction form
    343,292.80/473,760.30 = 214,307.68/x
  3. Step 3: Cross multiply
    343,292.80x = 473,760.30 × 214,307.68
  4. Step 4: Simplify right side
    343,292.80x = 101,530,470,769.10
  5. Step 5: Solve for x
    x = 101,530,470,769.10/343,292.80
  6. Step 6: Final answer
    x = 295,754.73

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