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Finding the Fourth Proportional to 407,413.98, 562,227.03 and 226,127.47

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Solution

The fourth proportional to 407,413.98, 562,227.03 and 226,127.47 is: 312,053.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,413.98 : 562,227.03 = 226,127.47 : x
  2. Step 2: Convert to fraction form
    407,413.98/562,227.03 = 226,127.47/x
  3. Step 3: Cross multiply
    407,413.98x = 562,227.03 × 226,127.47
  4. Step 4: Simplify right side
    407,413.98x = 127,134,975,859.51
  5. Step 5: Solve for x
    x = 127,134,975,859.51/407,413.98
  6. Step 6: Final answer
    x = 312,053.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.