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Finding the Fourth Proportional to 358,413.08, 494,606.25 and 197,264.66

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Solution

The fourth proportional to 358,413.08, 494,606.25 and 197,264.66 is: 272,223.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,413.08 : 494,606.25 = 197,264.66 : x
  2. Step 2: Convert to fraction form
    358,413.08/494,606.25 = 197,264.66/x
  3. Step 3: Cross multiply
    358,413.08x = 494,606.25 × 197,264.66
  4. Step 4: Simplify right side
    358,413.08x = 97,568,331,267.09
  5. Step 5: Solve for x
    x = 97,568,331,267.09/358,413.08
  6. Step 6: Final answer
    x = 272,223.14

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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.