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Finding the Fourth Proportional to 561,381.40, 842,072.10 and 162,035.20

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Solution

The fourth proportional to 561,381.40, 842,072.10 and 162,035.20 is: 243,052.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,381.40 : 842,072.10 = 162,035.20 : x
  2. Step 2: Convert to fraction form
    561,381.40/842,072.10 = 162,035.20/x
  3. Step 3: Cross multiply
    561,381.40x = 842,072.10 × 162,035.20
  4. Step 4: Simplify right side
    561,381.40x = 136,445,321,137.92
  5. Step 5: Solve for x
    x = 136,445,321,137.92/561,381.40
  6. Step 6: Final answer
    x = 243,052.80

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.