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Finding the Fourth Proportional to 362,593.20, 500,349.28 and 209,641.20

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Solution

The fourth proportional to 362,593.20, 500,349.28 and 209,641.20 is: 289,287.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,593.20 : 500,349.28 = 209,641.20 : x
  2. Step 2: Convert to fraction form
    362,593.20/500,349.28 = 209,641.20/x
  3. Step 3: Cross multiply
    362,593.20x = 500,349.28 × 209,641.20
  4. Step 4: Simplify right side
    362,593.20x = 104,893,823,478.34
  5. Step 5: Solve for x
    x = 104,893,823,478.34/362,593.20
  6. Step 6: Final answer
    x = 289,287.89

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