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Finding the Fourth Proportional to 362,712, 544,067.31 and 96,472.80

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Solution

The fourth proportional to 362,712, 544,067.31 and 96,472.80 is: 144,709.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,712 : 544,067.31 = 96,472.80 : x
  2. Step 2: Convert to fraction form
    362,712/544,067.31 = 96,472.80/x
  3. Step 3: Cross multiply
    362,712x = 544,067.31 × 96,472.80
  4. Step 4: Simplify right side
    362,712x = 52,487,696,784.17
  5. Step 5: Solve for x
    x = 52,487,696,784.17/362,712
  6. Step 6: Final answer
    x = 144,709.02

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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.