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Finding the Fourth Proportional to 536,954.56, 739,904.64 and 415,357.12

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Solution

The fourth proportional to 536,954.56, 739,904.64 and 415,357.12 is: 572,347.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,954.56 : 739,904.64 = 415,357.12 : x
  2. Step 2: Convert to fraction form
    536,954.56/739,904.64 = 415,357.12/x
  3. Step 3: Cross multiply
    536,954.56x = 739,904.64 × 415,357.12
  4. Step 4: Simplify right side
    536,954.56x = 307,324,660,345.04
  5. Step 5: Solve for x
    x = 307,324,660,345.04/536,954.56
  6. Step 6: Final answer
    x = 572,347.61

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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.