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Finding the Fourth Proportional to 314,604.20, 469,529.50 and 293,272.73

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Solution

The fourth proportional to 314,604.20, 469,529.50 and 293,272.73 is: 437,693.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,604.20 : 469,529.50 = 293,272.73 : x
  2. Step 2: Convert to fraction form
    314,604.20/469,529.50 = 293,272.73/x
  3. Step 3: Cross multiply
    314,604.20x = 469,529.50 × 293,272.73
  4. Step 4: Simplify right side
    314,604.20x = 137,700,198,280.54
  5. Step 5: Solve for x
    x = 137,700,198,280.54/314,604.20
  6. Step 6: Final answer
    x = 437,693.45

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.