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Finding the Fourth Proportional to 295,256.40, 442,884.60 and 204,714.60

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Solution

The fourth proportional to 295,256.40, 442,884.60 and 204,714.60 is: 307,071.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,256.40 : 442,884.60 = 204,714.60 : x
  2. Step 2: Convert to fraction form
    295,256.40/442,884.60 = 204,714.60/x
  3. Step 3: Cross multiply
    295,256.40x = 442,884.60 × 204,714.60
  4. Step 4: Simplify right side
    295,256.40x = 90,664,943,735.16
  5. Step 5: Solve for x
    x = 90,664,943,735.16/295,256.40
  6. Step 6: Final answer
    x = 307,071.90

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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.