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Finding the Fourth Proportional to 294,543.48, 442,480.31 and 174,679.05

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Solution

The fourth proportional to 294,543.48, 442,480.31 and 174,679.05 is: 262,413.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,543.48 : 442,480.31 = 174,679.05 : x
  2. Step 2: Convert to fraction form
    294,543.48/442,480.31 = 174,679.05/x
  3. Step 3: Cross multiply
    294,543.48x = 442,480.31 × 174,679.05
  4. Step 4: Simplify right side
    294,543.48x = 77,292,040,194.51
  5. Step 5: Solve for x
    x = 77,292,040,194.51/294,543.48
  6. Step 6: Final answer
    x = 262,413.01

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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.