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Finding the Fourth Proportional to 292,033.41, 438,093.24 and 92,308.47

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Solution

The fourth proportional to 292,033.41, 438,093.24 and 92,308.47 is: 138,476.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,033.41 : 438,093.24 = 92,308.47 : x
  2. Step 2: Convert to fraction form
    292,033.41/438,093.24 = 92,308.47/x
  3. Step 3: Cross multiply
    292,033.41x = 438,093.24 × 92,308.47
  4. Step 4: Simplify right side
    292,033.41x = 40,439,716,701.74
  5. Step 5: Solve for x
    x = 40,439,716,701.74/292,033.41
  6. Step 6: Final answer
    x = 138,476.34

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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.