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Finding the Fourth Proportional to 424,369.64, 585,637.24 and 243,097.42

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Solution

The fourth proportional to 424,369.64, 585,637.24 and 243,097.42 is: 335,478.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,369.64 : 585,637.24 = 243,097.42 : x
  2. Step 2: Convert to fraction form
    424,369.64/585,637.24 = 243,097.42/x
  3. Step 3: Cross multiply
    424,369.64x = 585,637.24 × 243,097.42
  4. Step 4: Simplify right side
    424,369.64x = 142,366,902,099.92
  5. Step 5: Solve for x
    x = 142,366,902,099.92/424,369.64
  6. Step 6: Final answer
    x = 335,478.53

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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.