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Finding the Fourth Proportional to 349,285.16, 524,365.50 and 280,026.92

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Solution

The fourth proportional to 349,285.16, 524,365.50 and 280,026.92 is: 420,391.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,285.16 : 524,365.50 = 280,026.92 : x
  2. Step 2: Convert to fraction form
    349,285.16/524,365.50 = 280,026.92/x
  3. Step 3: Cross multiply
    349,285.16x = 524,365.50 × 280,026.92
  4. Step 4: Simplify right side
    349,285.16x = 146,836,455,919.26
  5. Step 5: Solve for x
    x = 146,836,455,919.26/349,285.16
  6. Step 6: Final answer
    x = 420,391.34

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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.