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Finding the Fourth Proportional to 362,712.96, 500,504.14 and 209,728.00

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Solution

The fourth proportional to 362,712.96, 500,504.14 and 209,728.00 is: 289,401.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,712.96 : 500,504.14 = 209,728.00 : x
  2. Step 2: Convert to fraction form
    362,712.96/500,504.14 = 209,728.00/x
  3. Step 3: Cross multiply
    362,712.96x = 500,504.14 × 209,728.00
  4. Step 4: Simplify right side
    362,712.96x = 104,969,731,164.18
  5. Step 5: Solve for x
    x = 104,969,731,164.18/362,712.96
  6. Step 6: Final answer
    x = 289,401.66

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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.