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Finding the Fourth Proportional to 298,261.74, 411,595.10 and 162,298.38

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Solution

The fourth proportional to 298,261.74, 411,595.10 and 162,298.38 is: 223,968.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,261.74 : 411,595.10 = 162,298.38 : x
  2. Step 2: Convert to fraction form
    298,261.74/411,595.10 = 162,298.38/x
  3. Step 3: Cross multiply
    298,261.74x = 411,595.10 × 162,298.38
  4. Step 4: Simplify right side
    298,261.74x = 66,801,217,945.94
  5. Step 5: Solve for x
    x = 66,801,217,945.94/298,261.74
  6. Step 6: Final answer
    x = 223,968.44

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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.