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Finding the Fourth Proportional to 645,634.60, 968,160.30 and 290,465.80

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Solution

The fourth proportional to 645,634.60, 968,160.30 and 290,465.80 is: 435,567.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,634.60 : 968,160.30 = 290,465.80 : x
  2. Step 2: Convert to fraction form
    645,634.60/968,160.30 = 290,465.80/x
  3. Step 3: Cross multiply
    645,634.60x = 968,160.30 × 290,465.80
  4. Step 4: Simplify right side
    645,634.60x = 281,217,456,067.74
  5. Step 5: Solve for x
    x = 281,217,456,067.74/645,634.60
  6. Step 6: Final answer
    x = 435,567.51

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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.