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Finding the Fourth Proportional to 298,255.13, 411,592.07 and 164,119.13

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Solution

The fourth proportional to 298,255.13, 411,592.07 and 164,119.13 is: 226,484.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,255.13 : 411,592.07 = 164,119.13 : x
  2. Step 2: Convert to fraction form
    298,255.13/411,592.07 = 164,119.13/x
  3. Step 3: Cross multiply
    298,255.13x = 411,592.07 × 164,119.13
  4. Step 4: Simplify right side
    298,255.13x = 67,550,132,443.30
  5. Step 5: Solve for x
    x = 67,550,132,443.30/298,255.13
  6. Step 6: Final answer
    x = 226,484.39

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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.