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Finding the Fourth Proportional to 476,722.38, 657,337.77 and 304,413.78

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Solution

The fourth proportional to 476,722.38, 657,337.77 and 304,413.78 is: 419,746.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,722.38 : 657,337.77 = 304,413.78 : x
  2. Step 2: Convert to fraction form
    476,722.38/657,337.77 = 304,413.78/x
  3. Step 3: Cross multiply
    476,722.38x = 657,337.77 × 304,413.78
  4. Step 4: Simplify right side
    476,722.38x = 200,102,675,302.47
  5. Step 5: Solve for x
    x = 200,102,675,302.47/476,722.38
  6. Step 6: Final answer
    x = 419,746.76

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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.