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Finding the Fourth Proportional to 349,089.36, 482,027.40 and 284,568.72

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Solution

The fourth proportional to 349,089.36, 482,027.40 and 284,568.72 is: 392,936.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,089.36 : 482,027.40 = 284,568.72 : x
  2. Step 2: Convert to fraction form
    349,089.36/482,027.40 = 284,568.72/x
  3. Step 3: Cross multiply
    349,089.36x = 482,027.40 × 284,568.72
  4. Step 4: Simplify right side
    349,089.36x = 137,169,920,222.93
  5. Step 5: Solve for x
    x = 137,169,920,222.93/349,089.36
  6. Step 6: Final answer
    x = 392,936.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.