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Finding the Fourth Proportional to 298,256.36, 447,387.24 and 85,023.80

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Solution

The fourth proportional to 298,256.36, 447,387.24 and 85,023.80 is: 127,536.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,256.36 : 447,387.24 = 85,023.80 : x
  2. Step 2: Convert to fraction form
    298,256.36/447,387.24 = 85,023.80/x
  3. Step 3: Cross multiply
    298,256.36x = 447,387.24 × 85,023.80
  4. Step 4: Simplify right side
    298,256.36x = 38,038,563,216.31
  5. Step 5: Solve for x
    x = 38,038,563,216.31/298,256.36
  6. Step 6: Final answer
    x = 127,536.47

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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.