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Finding the Fourth Proportional to 473,895.56, 710,843.34 and 189,714.05

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Solution

The fourth proportional to 473,895.56, 710,843.34 and 189,714.05 is: 284,571.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,895.56 : 710,843.34 = 189,714.05 : x
  2. Step 2: Convert to fraction form
    473,895.56/710,843.34 = 189,714.05/x
  3. Step 3: Cross multiply
    473,895.56x = 710,843.34 × 189,714.05
  4. Step 4: Simplify right side
    473,895.56x = 134,856,968,769.80
  5. Step 5: Solve for x
    x = 134,856,968,769.80/473,895.56
  6. Step 6: Final answer
    x = 284,571.07

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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.