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Finding the Fourth Proportional to 308,943.74, 463,123.42 and 232,924.33

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Solution

The fourth proportional to 308,943.74, 463,123.42 and 232,924.33 is: 349,166.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,943.74 : 463,123.42 = 232,924.33 : x
  2. Step 2: Convert to fraction form
    308,943.74/463,123.42 = 232,924.33/x
  3. Step 3: Cross multiply
    308,943.74x = 463,123.42 × 232,924.33
  4. Step 4: Simplify right side
    308,943.74x = 107,872,712,310.81
  5. Step 5: Solve for x
    x = 107,872,712,310.81/308,943.74
  6. Step 6: Final answer
    x = 349,166.20

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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.