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Finding the Fourth Proportional to 384,218.46, 576,413.34 and 118,005.84

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Solution

The fourth proportional to 384,218.46, 576,413.34 and 118,005.84 is: 177,035.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,218.46 : 576,413.34 = 118,005.84 : x
  2. Step 2: Convert to fraction form
    384,218.46/576,413.34 = 118,005.84/x
  3. Step 3: Cross multiply
    384,218.46x = 576,413.34 × 118,005.84
  4. Step 4: Simplify right side
    384,218.46x = 68,020,140,373.91
  5. Step 5: Solve for x
    x = 68,020,140,373.91/384,218.46
  6. Step 6: Final answer
    x = 177,035.07

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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.