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Finding the Fourth Proportional to 544,585.14, 816,272.37 and 411,032.34

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Solution

The fourth proportional to 544,585.14, 816,272.37 and 411,032.34 is: 616,091.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,585.14 : 816,272.37 = 411,032.34 : x
  2. Step 2: Convert to fraction form
    544,585.14/816,272.37 = 411,032.34/x
  3. Step 3: Cross multiply
    544,585.14x = 816,272.37 × 411,032.34
  4. Step 4: Simplify right side
    544,585.14x = 335,514,342,318.45
  5. Step 5: Solve for x
    x = 335,514,342,318.45/544,585.14
  6. Step 6: Final answer
    x = 616,091.62

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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.