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Finding the Fourth Proportional to 305,026.52, 457,539.76 and 83,410.52

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Solution

The fourth proportional to 305,026.52, 457,539.76 and 83,410.52 is: 125,115.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,026.52 : 457,539.76 = 83,410.52 : x
  2. Step 2: Convert to fraction form
    305,026.52/457,539.76 = 83,410.52/x
  3. Step 3: Cross multiply
    305,026.52x = 457,539.76 × 83,410.52
  4. Step 4: Simplify right side
    305,026.52x = 38,163,629,302.28
  5. Step 5: Solve for x
    x = 38,163,629,302.28/305,026.52
  6. Step 6: Final answer
    x = 125,115.77

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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.