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Finding the Fourth Proportional to 342,812.94, 514,413.69 and 185,037.90

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Solution

The fourth proportional to 342,812.94, 514,413.69 and 185,037.90 is: 277,661.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,812.94 : 514,413.69 = 185,037.90 : x
  2. Step 2: Convert to fraction form
    342,812.94/514,413.69 = 185,037.90/x
  3. Step 3: Cross multiply
    342,812.94x = 514,413.69 × 185,037.90
  4. Step 4: Simplify right side
    342,812.94x = 95,186,028,928.85
  5. Step 5: Solve for x
    x = 95,186,028,928.85/342,812.94
  6. Step 6: Final answer
    x = 277,661.72

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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.