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Finding the Fourth Proportional to 401,556.52, 601,977.42 and 152,413.48

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Solution

The fourth proportional to 401,556.52, 601,977.42 and 152,413.48 is: 228,484.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,556.52 : 601,977.42 = 152,413.48 : x
  2. Step 2: Convert to fraction form
    401,556.52/601,977.42 = 152,413.48/x
  3. Step 3: Cross multiply
    401,556.52x = 601,977.42 × 152,413.48
  4. Step 4: Simplify right side
    401,556.52x = 91,749,473,463.62
  5. Step 5: Solve for x
    x = 91,749,473,463.62/401,556.52
  6. Step 6: Final answer
    x = 228,484.58

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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.