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Finding the Fourth Proportional to 424,458.12, 585,835.44 and 243,291.48

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Solution

The fourth proportional to 424,458.12, 585,835.44 and 243,291.48 is: 335,789.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,458.12 : 585,835.44 = 243,291.48 : x
  2. Step 2: Convert to fraction form
    424,458.12/585,835.44 = 243,291.48/x
  3. Step 3: Cross multiply
    424,458.12x = 585,835.44 × 243,291.48
  4. Step 4: Simplify right side
    424,458.12x = 142,528,771,234.05
  5. Step 5: Solve for x
    x = 142,528,771,234.05/424,458.12
  6. Step 6: Final answer
    x = 335,789.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.