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Finding the Fourth Proportional to 535,745.09, 739,326.07 and 294,031.64

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Solution

The fourth proportional to 535,745.09, 739,326.07 and 294,031.64 is: 405,762.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,745.09 : 739,326.07 = 294,031.64 : x
  2. Step 2: Convert to fraction form
    535,745.09/739,326.07 = 294,031.64/x
  3. Step 3: Cross multiply
    535,745.09x = 739,326.07 × 294,031.64
  4. Step 4: Simplify right side
    535,745.09x = 217,385,256,856.86
  5. Step 5: Solve for x
    x = 217,385,256,856.86/535,745.09
  6. Step 6: Final answer
    x = 405,762.48

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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.