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Finding the Fourth Proportional to 459,054.75, 632,827.89 and 320,804.45

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Solution

The fourth proportional to 459,054.75, 632,827.89 and 320,804.45 is: 442,243.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,054.75 : 632,827.89 = 320,804.45 : x
  2. Step 2: Convert to fraction form
    459,054.75/632,827.89 = 320,804.45/x
  3. Step 3: Cross multiply
    459,054.75x = 632,827.89 × 320,804.45
  4. Step 4: Simplify right side
    459,054.75x = 203,014,007,167.75
  5. Step 5: Solve for x
    x = 203,014,007,167.75/459,054.75
  6. Step 6: Final answer
    x = 442,243.56

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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.