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Finding the Fourth Proportional to 410,673.50, 616,256.01 and 177,201.50

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Solution

The fourth proportional to 410,673.50, 616,256.01 and 177,201.50 is: 265,908.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,673.50 : 616,256.01 = 177,201.50 : x
  2. Step 2: Convert to fraction form
    410,673.50/616,256.01 = 177,201.50/x
  3. Step 3: Cross multiply
    410,673.50x = 616,256.01 × 177,201.50
  4. Step 4: Simplify right side
    410,673.50x = 109,201,489,356.02
  5. Step 5: Solve for x
    x = 109,201,489,356.02/410,673.50
  6. Step 6: Final answer
    x = 265,908.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.