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Finding the Fourth Proportional to 519,059.88, 778,585.16 and 164,074.14

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Solution

The fourth proportional to 519,059.88, 778,585.16 and 164,074.14 is: 246,109.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,059.88 : 778,585.16 = 164,074.14 : x
  2. Step 2: Convert to fraction form
    519,059.88/778,585.16 = 164,074.14/x
  3. Step 3: Cross multiply
    519,059.88x = 778,585.16 × 164,074.14
  4. Step 4: Simplify right side
    519,059.88x = 127,745,690,953.95
  5. Step 5: Solve for x
    x = 127,745,690,953.95/519,059.88
  6. Step 6: Final answer
    x = 246,109.74

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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.