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Finding the Fourth Proportional to 384,276.70, 576,413.83 and 103,793.95

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Solution

The fourth proportional to 384,276.70, 576,413.83 and 103,793.95 is: 155,690.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,276.70 : 576,413.83 = 103,793.95 : x
  2. Step 2: Convert to fraction form
    384,276.70/576,413.83 = 103,793.95/x
  3. Step 3: Cross multiply
    384,276.70x = 576,413.83 × 103,793.95
  4. Step 4: Simplify right side
    384,276.70x = 59,828,266,549.81
  5. Step 5: Solve for x
    x = 59,828,266,549.81/384,276.70
  6. Step 6: Final answer
    x = 155,690.59

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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.