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Finding the Fourth Proportional to 386,095.92, 578,503.80 and 273,216.84

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Solution

The fourth proportional to 386,095.92, 578,503.80 and 273,216.84 is: 409,372.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,095.92 : 578,503.80 = 273,216.84 : x
  2. Step 2: Convert to fraction form
    386,095.92/578,503.80 = 273,216.84/x
  3. Step 3: Cross multiply
    386,095.92x = 578,503.80 × 273,216.84
  4. Step 4: Simplify right side
    386,095.92x = 158,056,980,163.99
  5. Step 5: Solve for x
    x = 158,056,980,163.99/386,095.92
  6. Step 6: Final answer
    x = 409,372.31

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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.