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Finding the Fourth Proportional to 298,646.60, 412,132.86 and 177,792.06

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Solution

The fourth proportional to 298,646.60, 412,132.86 and 177,792.06 is: 245,353.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,646.60 : 412,132.86 = 177,792.06 : x
  2. Step 2: Convert to fraction form
    298,646.60/412,132.86 = 177,792.06/x
  3. Step 3: Cross multiply
    298,646.60x = 412,132.86 × 177,792.06
  4. Step 4: Simplify right side
    298,646.60x = 73,273,951,718.59
  5. Step 5: Solve for x
    x = 73,273,951,718.59/298,646.60
  6. Step 6: Final answer
    x = 245,353.38

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1.5x scale

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.