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Finding the Fourth Proportional to 310,910.59, 465,618.52 and 177,386.04

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Solution

The fourth proportional to 310,910.59, 465,618.52 and 177,386.04 is: 265,652.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,910.59 : 465,618.52 = 177,386.04 : x
  2. Step 2: Convert to fraction form
    310,910.59/465,618.52 = 177,386.04/x
  3. Step 3: Cross multiply
    310,910.59x = 465,618.52 × 177,386.04
  4. Step 4: Simplify right side
    310,910.59x = 82,594,224,824.54
  5. Step 5: Solve for x
    x = 82,594,224,824.54/310,910.59
  6. Step 6: Final answer
    x = 265,652.66

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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.