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Finding the Fourth Proportional to 344,977.97, 517,430.54 and 92,283.95

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Solution

The fourth proportional to 344,977.97, 517,430.54 and 92,283.95 is: 138,416.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,977.97 : 517,430.54 = 92,283.95 : x
  2. Step 2: Convert to fraction form
    344,977.97/517,430.54 = 92,283.95/x
  3. Step 3: Cross multiply
    344,977.97x = 517,430.54 × 92,283.95
  4. Step 4: Simplify right side
    344,977.97x = 47,750,535,606.12
  5. Step 5: Solve for x
    x = 47,750,535,606.12/344,977.97
  6. Step 6: Final answer
    x = 138,416.19

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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.