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Finding the Fourth Proportional to 298,529.29, 411,970.44 and 162,563.20

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Solution

The fourth proportional to 298,529.29, 411,970.44 and 162,563.20 is: 224,337.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,529.29 : 411,970.44 = 162,563.20 : x
  2. Step 2: Convert to fraction form
    298,529.29/411,970.44 = 162,563.20/x
  3. Step 3: Cross multiply
    298,529.29x = 411,970.44 × 162,563.20
  4. Step 4: Simplify right side
    298,529.29x = 66,971,232,611.49
  5. Step 5: Solve for x
    x = 66,971,232,611.49/298,529.29
  6. Step 6: Final answer
    x = 224,337.22

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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.