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Finding the Fourth Proportional to 320,216.16, 480,323.64 and 300,730

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Solution

The fourth proportional to 320,216.16, 480,323.64 and 300,730 is: 451,094.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,216.16 : 480,323.64 = 300,730 : x
  2. Step 2: Convert to fraction form
    320,216.16/480,323.64 = 300,730/x
  3. Step 3: Cross multiply
    320,216.16x = 480,323.64 × 300,730
  4. Step 4: Simplify right side
    320,216.16x = 144,447,728,257.20
  5. Step 5: Solve for x
    x = 144,447,728,257.20/320,216.16
  6. Step 6: Final answer
    x = 451,094.44

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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.