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Finding the Fourth Proportional to 397,969.37, 549,108.82 and 333,698.57

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Solution

The fourth proportional to 397,969.37, 549,108.82 and 333,698.57 is: 460,429.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,969.37 : 549,108.82 = 333,698.57 : x
  2. Step 2: Convert to fraction form
    397,969.37/549,108.82 = 333,698.57/x
  3. Step 3: Cross multiply
    397,969.37x = 549,108.82 × 333,698.57
  4. Step 4: Simplify right side
    397,969.37x = 183,236,828,008.39
  5. Step 5: Solve for x
    x = 183,236,828,008.39/397,969.37
  6. Step 6: Final answer
    x = 460,429.47

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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.