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Finding the Fourth Proportional to 298,349.92, 411,722.94 and 164,213.92

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Solution

The fourth proportional to 298,349.92, 411,722.94 and 164,213.92 is: 226,615.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,349.92 : 411,722.94 = 164,213.92 : x
  2. Step 2: Convert to fraction form
    298,349.92/411,722.94 = 164,213.92/x
  3. Step 3: Cross multiply
    298,349.92x = 411,722.94 × 164,213.92
  4. Step 4: Simplify right side
    298,349.92x = 67,610,637,931.32
  5. Step 5: Solve for x
    x = 67,610,637,931.32/298,349.92
  6. Step 6: Final answer
    x = 226,615.24

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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.