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Finding the Fourth Proportional to 475,730.40, 656,538.30 and 314,302.26

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Solution

The fourth proportional to 475,730.40, 656,538.30 and 314,302.26 is: 433,757.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,730.40 : 656,538.30 = 314,302.26 : x
  2. Step 2: Convert to fraction form
    475,730.40/656,538.30 = 314,302.26/x
  3. Step 3: Cross multiply
    475,730.40x = 656,538.30 × 314,302.26
  4. Step 4: Simplify right side
    475,730.40x = 206,351,471,466.56
  5. Step 5: Solve for x
    x = 206,351,471,466.56/475,730.40
  6. Step 6: Final answer
    x = 433,757.17

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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.