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Finding the Fourth Proportional to 381,916.17, 572,054.15 and 359,558.26

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Solution

The fourth proportional to 381,916.17, 572,054.15 and 359,558.26 is: 538,565.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,916.17 : 572,054.15 = 359,558.26 : x
  2. Step 2: Convert to fraction form
    381,916.17/572,054.15 = 359,558.26/x
  3. Step 3: Cross multiply
    381,916.17x = 572,054.15 × 359,558.26
  4. Step 4: Simplify right side
    381,916.17x = 205,686,794,268.54
  5. Step 5: Solve for x
    x = 205,686,794,268.54/381,916.17
  6. Step 6: Final answer
    x = 538,565.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.