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Finding the Fourth Proportional to 751,116, 1,036,540.08 and 433,164

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Solution

The fourth proportional to 751,116, 1,036,540.08 and 433,164 is: 597,766.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,116 : 1,036,540.08 = 433,164 : x
  2. Step 2: Convert to fraction form
    751,116/1,036,540.08 = 433,164/x
  3. Step 3: Cross multiply
    751,116x = 1,036,540.08 × 433,164
  4. Step 4: Simplify right side
    751,116x = 448,991,847,213.12
  5. Step 5: Solve for x
    x = 448,991,847,213.12/751,116
  6. Step 6: Final answer
    x = 597,766.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.