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Finding the Fourth Proportional to 473,832.15, 711,068.06 and 185,608.05

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Solution

The fourth proportional to 473,832.15, 711,068.06 and 185,608.05 is: 278,537.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,832.15 : 711,068.06 = 185,608.05 : x
  2. Step 2: Convert to fraction form
    473,832.15/711,068.06 = 185,608.05/x
  3. Step 3: Cross multiply
    473,832.15x = 711,068.06 × 185,608.05
  4. Step 4: Simplify right side
    473,832.15x = 131,979,955,105.84
  5. Step 5: Solve for x
    x = 131,979,955,105.84/473,832.15
  6. Step 6: Final answer
    x = 278,537.36

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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.