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Finding the Fourth Proportional to 298,160.47, 411,468.96 and 162,202.06

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Solution

The fourth proportional to 298,160.47, 411,468.96 and 162,202.06 is: 223,842.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,160.47 : 411,468.96 = 162,202.06 : x
  2. Step 2: Convert to fraction form
    298,160.47/411,468.96 = 162,202.06/x
  3. Step 3: Cross multiply
    298,160.47x = 411,468.96 × 162,202.06
  4. Step 4: Simplify right side
    298,160.47x = 66,741,112,938.06
  5. Step 5: Solve for x
    x = 66,741,112,938.06/298,160.47
  6. Step 6: Final answer
    x = 223,842.93

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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.