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Finding the Fourth Proportional to 512,032.59, 767,578.68 and 196,426.62

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Solution

The fourth proportional to 512,032.59, 767,578.68 and 196,426.62 is: 294,459.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,032.59 : 767,578.68 = 196,426.62 : x
  2. Step 2: Convert to fraction form
    512,032.59/767,578.68 = 196,426.62/x
  3. Step 3: Cross multiply
    512,032.59x = 767,578.68 × 196,426.62
  4. Step 4: Simplify right side
    512,032.59x = 150,772,885,696.46
  5. Step 5: Solve for x
    x = 150,772,885,696.46/512,032.59
  6. Step 6: Final answer
    x = 294,459.55

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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.