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Finding the Fourth Proportional to 427,413.83, 590,333.00 and 341,669.76

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Solution

The fourth proportional to 427,413.83, 590,333.00 and 341,669.76 is: 471,905.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,413.83 : 590,333.00 = 341,669.76 : x
  2. Step 2: Convert to fraction form
    427,413.83/590,333.00 = 341,669.76/x
  3. Step 3: Cross multiply
    427,413.83x = 590,333.00 × 341,669.76
  4. Step 4: Simplify right side
    427,413.83x = 201,698,930,507.98
  5. Step 5: Solve for x
    x = 201,698,930,507.98/427,413.83
  6. Step 6: Final answer
    x = 471,905.49

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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.