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Finding the Fourth Proportional to 354,461.44, 489,137.59 and 201,478.40

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Solution

The fourth proportional to 354,461.44, 489,137.59 and 201,478.40 is: 278,029.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,461.44 : 489,137.59 = 201,478.40 : x
  2. Step 2: Convert to fraction form
    354,461.44/489,137.59 = 201,478.40/x
  3. Step 3: Cross multiply
    354,461.44x = 489,137.59 × 201,478.40
  4. Step 4: Simplify right side
    354,461.44x = 98,550,658,208.02
  5. Step 5: Solve for x
    x = 98,550,658,208.02/354,461.44
  6. Step 6: Final answer
    x = 278,029.28

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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.