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Finding the Fourth Proportional to 519,055.09, 778,697.96 and 159,275.97

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Solution

The fourth proportional to 519,055.09, 778,697.96 and 159,275.97 is: 238,949.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,055.09 : 778,697.96 = 159,275.97 : x
  2. Step 2: Convert to fraction form
    519,055.09/778,697.96 = 159,275.97/x
  3. Step 3: Cross multiply
    519,055.09x = 778,697.96 × 159,275.97
  4. Step 4: Simplify right side
    519,055.09x = 124,027,872,119.64
  5. Step 5: Solve for x
    x = 124,027,872,119.64/519,055.09
  6. Step 6: Final answer
    x = 238,949.34

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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.