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Finding the Fourth Proportional to 307,280.80, 460,921.20 and 254,792.80

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Solution

The fourth proportional to 307,280.80, 460,921.20 and 254,792.80 is: 382,189.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,280.80 : 460,921.20 = 254,792.80 : x
  2. Step 2: Convert to fraction form
    307,280.80/460,921.20 = 254,792.80/x
  3. Step 3: Cross multiply
    307,280.80x = 460,921.20 × 254,792.80
  4. Step 4: Simplify right side
    307,280.80x = 117,439,403,127.36
  5. Step 5: Solve for x
    x = 117,439,403,127.36/307,280.80
  6. Step 6: Final answer
    x = 382,189.20

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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.