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Finding the Fourth Proportional to 320,009.20, 480,013.80 and 201,295.60

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Solution

The fourth proportional to 320,009.20, 480,013.80 and 201,295.60 is: 301,943.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,009.20 : 480,013.80 = 201,295.60 : x
  2. Step 2: Convert to fraction form
    320,009.20/480,013.80 = 201,295.60/x
  3. Step 3: Cross multiply
    320,009.20x = 480,013.80 × 201,295.60
  4. Step 4: Simplify right side
    320,009.20x = 96,624,665,879.28
  5. Step 5: Solve for x
    x = 96,624,665,879.28/320,009.20
  6. Step 6: Final answer
    x = 301,943.40

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1.5x scale

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.