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Finding the Fourth Proportional to 553,617.97, 830,426.96 and 132,893.84

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Solution

The fourth proportional to 553,617.97, 830,426.96 and 132,893.84 is: 199,340.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,617.97 : 830,426.96 = 132,893.84 : x
  2. Step 2: Convert to fraction form
    553,617.97/830,426.96 = 132,893.84/x
  3. Step 3: Cross multiply
    553,617.97x = 830,426.96 × 132,893.84
  4. Step 4: Simplify right side
    553,617.97x = 110,358,629,962.23
  5. Step 5: Solve for x
    x = 110,358,629,962.23/553,617.97
  6. Step 6: Final answer
    x = 199,340.77

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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.