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Finding the Fourth Proportional to 564,277.80, 846,413.85 and 199,809.79

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Solution

The fourth proportional to 564,277.80, 846,413.85 and 199,809.79 is: 299,713.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,277.80 : 846,413.85 = 199,809.79 : x
  2. Step 2: Convert to fraction form
    564,277.80/846,413.85 = 199,809.79/x
  3. Step 3: Cross multiply
    564,277.80x = 846,413.85 × 199,809.79
  4. Step 4: Simplify right side
    564,277.80x = 169,121,773,621.59
  5. Step 5: Solve for x
    x = 169,121,773,621.59/564,277.80
  6. Step 6: Final answer
    x = 299,713.68

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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.