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Finding the Fourth Proportional to 434,049.14, 650,286.30 and 320,478.23

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Solution

The fourth proportional to 434,049.14, 650,286.30 and 320,478.23 is: 480,135.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,049.14 : 650,286.30 = 320,478.23 : x
  2. Step 2: Convert to fraction form
    434,049.14/650,286.30 = 320,478.23/x
  3. Step 3: Cross multiply
    434,049.14x = 650,286.30 × 320,478.23
  4. Step 4: Simplify right side
    434,049.14x = 208,402,602,417.25
  5. Step 5: Solve for x
    x = 208,402,602,417.25/434,049.14
  6. Step 6: Final answer
    x = 480,135.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.