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Finding the Fourth Proportional to 523,632.24, 785,730.24 and 208,091.88

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Solution

The fourth proportional to 523,632.24, 785,730.24 and 208,091.88 is: 312,249.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,632.24 : 785,730.24 = 208,091.88 : x
  2. Step 2: Convert to fraction form
    523,632.24/785,730.24 = 208,091.88/x
  3. Step 3: Cross multiply
    523,632.24x = 785,730.24 × 208,091.88
  4. Step 4: Simplify right side
    523,632.24x = 163,504,082,814.45
  5. Step 5: Solve for x
    x = 163,504,082,814.45/523,632.24
  6. Step 6: Final answer
    x = 312,249.84

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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.