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Finding the Fourth Proportional to 519,694.75, 717,178.80 and 293,354.83

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Solution

The fourth proportional to 519,694.75, 717,178.80 and 293,354.83 is: 404,829.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,694.75 : 717,178.80 = 293,354.83 : x
  2. Step 2: Convert to fraction form
    519,694.75/717,178.80 = 293,354.83/x
  3. Step 3: Cross multiply
    519,694.75x = 717,178.80 × 293,354.83
  4. Step 4: Simplify right side
    519,694.75x = 210,387,864,953.60
  5. Step 5: Solve for x
    x = 210,387,864,953.60/519,694.75
  6. Step 6: Final answer
    x = 404,829.69

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1.5x scale

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.