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Finding the Fourth Proportional to 523,378.56, 785,087.84 and 163,582.54

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Solution

The fourth proportional to 523,378.56, 785,087.84 and 163,582.54 is: 245,380.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,378.56 : 785,087.84 = 163,582.54 : x
  2. Step 2: Convert to fraction form
    523,378.56/785,087.84 = 163,582.54/x
  3. Step 3: Cross multiply
    523,378.56x = 785,087.84 × 163,582.54
  4. Step 4: Simplify right side
    523,378.56x = 128,426,661,436.55
  5. Step 5: Solve for x
    x = 128,426,661,436.55/523,378.56
  6. Step 6: Final answer
    x = 245,380.06

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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.