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Finding the Fourth Proportional to 381,803.40, 572,705.10 and 320,056.20

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Solution

The fourth proportional to 381,803.40, 572,705.10 and 320,056.20 is: 480,084.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,803.40 : 572,705.10 = 320,056.20 : x
  2. Step 2: Convert to fraction form
    381,803.40/572,705.10 = 320,056.20/x
  3. Step 3: Cross multiply
    381,803.40x = 572,705.10 × 320,056.20
  4. Step 4: Simplify right side
    381,803.40x = 183,297,818,026.62
  5. Step 5: Solve for x
    x = 183,297,818,026.62/381,803.40
  6. Step 6: Final answer
    x = 480,084.30

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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.