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Finding the Fourth Proportional to 298,494.81, 411,918.96 and 162,527.19

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Solution

The fourth proportional to 298,494.81, 411,918.96 and 162,527.19 is: 224,285.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,494.81 : 411,918.96 = 162,527.19 : x
  2. Step 2: Convert to fraction form
    298,494.81/411,918.96 = 162,527.19/x
  3. Step 3: Cross multiply
    298,494.81x = 411,918.96 × 162,527.19
  4. Step 4: Simplify right side
    298,494.81x = 66,948,031,076.52
  5. Step 5: Solve for x
    x = 66,948,031,076.52/298,494.81
  6. Step 6: Final answer
    x = 224,285.41

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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.