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Finding the Fourth Proportional to 354,904.40, 489,749.66 and 201,939.50

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Solution

The fourth proportional to 354,904.40, 489,749.66 and 201,939.50 is: 278,666.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,904.40 : 489,749.66 = 201,939.50 : x
  2. Step 2: Convert to fraction form
    354,904.40/489,749.66 = 201,939.50/x
  3. Step 3: Cross multiply
    354,904.40x = 489,749.66 × 201,939.50
  4. Step 4: Simplify right side
    354,904.40x = 98,899,798,007.12
  5. Step 5: Solve for x
    x = 98,899,798,007.12/354,904.40
  6. Step 6: Final answer
    x = 278,666.03

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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.