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Finding the Fourth Proportional to 458,954.41, 633,448.20 and 293,276.47

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Solution

The fourth proportional to 458,954.41, 633,448.20 and 293,276.47 is: 404,779.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,954.41 : 633,448.20 = 293,276.47 : x
  2. Step 2: Convert to fraction form
    458,954.41/633,448.20 = 293,276.47/x
  3. Step 3: Cross multiply
    458,954.41x = 633,448.20 × 293,276.47
  4. Step 4: Simplify right side
    458,954.41x = 185,775,452,023.85
  5. Step 5: Solve for x
    x = 185,775,452,023.85/458,954.41
  6. Step 6: Final answer
    x = 404,779.75

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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.