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Finding the Fourth Proportional to 317,442.39, 438,083.15 and 174,207.57

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Solution

The fourth proportional to 317,442.39, 438,083.15 and 174,207.57 is: 240,413.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,442.39 : 438,083.15 = 174,207.57 : x
  2. Step 2: Convert to fraction form
    317,442.39/438,083.15 = 174,207.57/x
  3. Step 3: Cross multiply
    317,442.39x = 438,083.15 × 174,207.57
  4. Step 4: Simplify right side
    317,442.39x = 76,317,400,148.41
  5. Step 5: Solve for x
    x = 76,317,400,148.41/317,442.39
  6. Step 6: Final answer
    x = 240,413.39

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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.