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Finding the Fourth Proportional to 307,709.40, 460,758.30 and 247,417.40

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Solution

The fourth proportional to 307,709.40, 460,758.30 and 247,417.40 is: 370,478.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,709.40 : 460,758.30 = 247,417.40 : x
  2. Step 2: Convert to fraction form
    307,709.40/460,758.30 = 247,417.40/x
  3. Step 3: Cross multiply
    307,709.40x = 460,758.30 × 247,417.40
  4. Step 4: Simplify right side
    307,709.40x = 113,999,620,614.42
  5. Step 5: Solve for x
    x = 113,999,620,614.42/307,709.40
  6. Step 6: Final answer
    x = 370,478.19

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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.