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Finding the Fourth Proportional to 295,297.60, 442,874.40 and 84,913.60

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Solution

The fourth proportional to 295,297.60, 442,874.40 and 84,913.60 is: 127,349.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,297.60 : 442,874.40 = 84,913.60 : x
  2. Step 2: Convert to fraction form
    295,297.60/442,874.40 = 84,913.60/x
  3. Step 3: Cross multiply
    295,297.60x = 442,874.40 × 84,913.60
  4. Step 4: Simplify right side
    295,297.60x = 37,606,059,651.84
  5. Step 5: Solve for x
    x = 37,606,059,651.84/295,297.60
  6. Step 6: Final answer
    x = 127,349.70

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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.