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Finding the Fourth Proportional to 491,832.32, 737,774.64 and 154,899.32

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Solution

The fourth proportional to 491,832.32, 737,774.64 and 154,899.32 is: 232,357.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,832.32 : 737,774.64 = 154,899.32 : x
  2. Step 2: Convert to fraction form
    491,832.32/737,774.64 = 154,899.32/x
  3. Step 3: Cross multiply
    491,832.32x = 737,774.64 × 154,899.32
  4. Step 4: Simplify right side
    491,832.32x = 114,280,786,360.37
  5. Step 5: Solve for x
    x = 114,280,786,360.37/491,832.32
  6. Step 6: Final answer
    x = 232,357.21

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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.