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Finding the Fourth Proportional to 541,206.36, 811,800.83 and 186,223.46

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Solution

The fourth proportional to 541,206.36, 811,800.83 and 186,223.46 is: 279,332.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,206.36 : 811,800.83 = 186,223.46 : x
  2. Step 2: Convert to fraction form
    541,206.36/811,800.83 = 186,223.46/x
  3. Step 3: Cross multiply
    541,206.36x = 811,800.83 × 186,223.46
  4. Step 4: Simplify right side
    541,206.36x = 151,176,355,800.03
  5. Step 5: Solve for x
    x = 151,176,355,800.03/541,206.36
  6. Step 6: Final answer
    x = 279,332.19

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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.