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Finding the Fourth Proportional to 535,741.90, 803,735.56 and 232,187

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Solution

The fourth proportional to 535,741.90, 803,735.56 and 232,187 is: 348,333.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,741.90 : 803,735.56 = 232,187 : x
  2. Step 2: Convert to fraction form
    535,741.90/803,735.56 = 232,187/x
  3. Step 3: Cross multiply
    535,741.90x = 803,735.56 × 232,187
  4. Step 4: Simplify right side
    535,741.90x = 186,616,948,469.72
  5. Step 5: Solve for x
    x = 186,616,948,469.72/535,741.90
  6. Step 6: Final answer
    x = 348,333.68

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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.