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Finding the Fourth Proportional to 307,710.32, 424,305.48 and 200,080.76

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Solution

The fourth proportional to 307,710.32, 424,305.48 and 200,080.76 is: 275,893.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,710.32 : 424,305.48 = 200,080.76 : x
  2. Step 2: Convert to fraction form
    307,710.32/424,305.48 = 200,080.76/x
  3. Step 3: Cross multiply
    307,710.32x = 424,305.48 × 200,080.76
  4. Step 4: Simplify right side
    307,710.32x = 84,895,360,038.73
  5. Step 5: Solve for x
    x = 84,895,360,038.73/307,710.32
  6. Step 6: Final answer
    x = 275,893.77

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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.