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Finding the Fourth Proportional to 340,169.25, 510,569.15 and 171,807.80

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Solution

The fourth proportional to 340,169.25, 510,569.15 and 171,807.80 is: 257,870.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,169.25 : 510,569.15 = 171,807.80 : x
  2. Step 2: Convert to fraction form
    340,169.25/510,569.15 = 171,807.80/x
  3. Step 3: Cross multiply
    340,169.25x = 510,569.15 × 171,807.80
  4. Step 4: Simplify right side
    340,169.25x = 87,719,763,685.79
  5. Step 5: Solve for x
    x = 87,719,763,685.79/340,169.25
  6. Step 6: Final answer
    x = 257,870.94

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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.