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Finding the Fourth Proportional to 557,386.32, 836,301 and 178,365.44

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Solution

The fourth proportional to 557,386.32, 836,301 and 178,365.44 is: 267,619.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,386.32 : 836,301 = 178,365.44 : x
  2. Step 2: Convert to fraction form
    557,386.32/836,301 = 178,365.44/x
  3. Step 3: Cross multiply
    557,386.32x = 836,301 × 178,365.44
  4. Step 4: Simplify right side
    557,386.32x = 149,167,195,837.44
  5. Step 5: Solve for x
    x = 149,167,195,837.44/557,386.32
  6. Step 6: Final answer
    x = 267,619.05

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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.