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Finding the Fourth Proportional to 320,703.20, 480,906.54 and 180,461.81

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Solution

The fourth proportional to 320,703.20, 480,906.54 and 180,461.81 is: 270,609.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,703.20 : 480,906.54 = 180,461.81 : x
  2. Step 2: Convert to fraction form
    320,703.20/480,906.54 = 180,461.81/x
  3. Step 3: Cross multiply
    320,703.20x = 480,906.54 × 180,461.81
  4. Step 4: Simplify right side
    320,703.20x = 86,785,264,649.24
  5. Step 5: Solve for x
    x = 86,785,264,649.24/320,703.20
  6. Step 6: Final answer
    x = 270,609.29

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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.