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Finding the Fourth Proportional to 294,508.89, 406,413.18 and 173,657.70

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Solution

The fourth proportional to 294,508.89, 406,413.18 and 173,657.70 is: 239,642.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,508.89 : 406,413.18 = 173,657.70 : x
  2. Step 2: Convert to fraction form
    294,508.89/406,413.18 = 173,657.70/x
  3. Step 3: Cross multiply
    294,508.89x = 406,413.18 × 173,657.70
  4. Step 4: Simplify right side
    294,508.89x = 70,576,778,088.49
  5. Step 5: Solve for x
    x = 70,576,778,088.49/294,508.89
  6. Step 6: Final answer
    x = 239,642.27

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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.