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Finding the Fourth Proportional to 362,599.86, 500,358.47 and 209,647.87

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Solution

The fourth proportional to 362,599.86, 500,358.47 and 209,647.87 is: 289,297.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,599.86 : 500,358.47 = 209,647.87 : x
  2. Step 2: Convert to fraction form
    362,599.86/500,358.47 = 209,647.87/x
  3. Step 3: Cross multiply
    362,599.86x = 500,358.47 × 209,647.87
  4. Step 4: Simplify right side
    362,599.86x = 104,899,087,471.96
  5. Step 5: Solve for x
    x = 104,899,087,471.96/362,599.86
  6. Step 6: Final answer
    x = 289,297.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.