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Finding the Fourth Proportional to 354,457.71, 489,180.77 and 201,543.89

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Solution

The fourth proportional to 354,457.71, 489,180.77 and 201,543.89 is: 278,147.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,457.71 : 489,180.77 = 201,543.89 : x
  2. Step 2: Convert to fraction form
    354,457.71/489,180.77 = 201,543.89/x
  3. Step 3: Cross multiply
    354,457.71x = 489,180.77 × 201,543.89
  4. Step 4: Simplify right side
    354,457.71x = 98,591,395,299.00
  5. Step 5: Solve for x
    x = 98,591,395,299.00/354,457.71
  6. Step 6: Final answer
    x = 278,147.13

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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.