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Finding the Fourth Proportional to 395,840.94, 594,583.93 and 320,025.17

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Solution

The fourth proportional to 395,840.94, 594,583.93 and 320,025.17 is: 480,702.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,840.94 : 594,583.93 = 320,025.17 : x
  2. Step 2: Convert to fraction form
    395,840.94/594,583.93 = 320,025.17/x
  3. Step 3: Cross multiply
    395,840.94x = 594,583.93 × 320,025.17
  4. Step 4: Simplify right side
    395,840.94x = 190,281,823,277.52
  5. Step 5: Solve for x
    x = 190,281,823,277.52/395,840.94
  6. Step 6: Final answer
    x = 480,702.74

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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.