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Finding the Fourth Proportional to 523,831.56, 785,797.98 and 208,217.64

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Solution

The fourth proportional to 523,831.56, 785,797.98 and 208,217.64 is: 312,346.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,831.56 : 785,797.98 = 208,217.64 : x
  2. Step 2: Convert to fraction form
    523,831.56/785,797.98 = 208,217.64/x
  3. Step 3: Cross multiply
    523,831.56x = 785,797.98 × 208,217.64
  4. Step 4: Simplify right side
    523,831.56x = 163,617,000,912.37
  5. Step 5: Solve for x
    x = 163,617,000,912.37/523,831.56
  6. Step 6: Final answer
    x = 312,346.59

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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.