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Finding the Fourth Proportional to 295,291.40, 442,937.10 and 204,749.60

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Solution

The fourth proportional to 295,291.40, 442,937.10 and 204,749.60 is: 307,124.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,291.40 : 442,937.10 = 204,749.60 : x
  2. Step 2: Convert to fraction form
    295,291.40/442,937.10 = 204,749.60/x
  3. Step 3: Cross multiply
    295,291.40x = 442,937.10 × 204,749.60
  4. Step 4: Simplify right side
    295,291.40x = 90,691,194,050.16
  5. Step 5: Solve for x
    x = 90,691,194,050.16/295,291.40
  6. Step 6: Final answer
    x = 307,124.40

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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.