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Finding the Fourth Proportional to 458,948.91, 633,440.61 and 293,270.97

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Solution

The fourth proportional to 458,948.91, 633,440.61 and 293,270.97 is: 404,772.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,948.91 : 633,440.61 = 293,270.97 : x
  2. Step 2: Convert to fraction form
    458,948.91/633,440.61 = 293,270.97/x
  3. Step 3: Cross multiply
    458,948.91x = 633,440.61 × 293,270.97
  4. Step 4: Simplify right side
    458,948.91x = 185,769,742,132.09
  5. Step 5: Solve for x
    x = 185,769,742,132.09/458,948.91
  6. Step 6: Final answer
    x = 404,772.16

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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.