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Finding the Fourth Proportional to 523,826.56, 785,797.80 and 186,945.76

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Solution

The fourth proportional to 523,826.56, 785,797.80 and 186,945.76 is: 280,439.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,826.56 : 785,797.80 = 186,945.76 : x
  2. Step 2: Convert to fraction form
    523,826.56/785,797.80 = 186,945.76/x
  3. Step 3: Cross multiply
    523,826.56x = 785,797.80 × 186,945.76
  4. Step 4: Simplify right side
    523,826.56x = 146,901,566,927.33
  5. Step 5: Solve for x
    x = 146,901,566,927.33/523,826.56
  6. Step 6: Final answer
    x = 280,439.33

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1.5x scale

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.