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Finding the Fourth Proportional to 307,945.40, 461,918.10 and 256,105.40

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Solution

The fourth proportional to 307,945.40, 461,918.10 and 256,105.40 is: 384,158.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,945.40 : 461,918.10 = 256,105.40 : x
  2. Step 2: Convert to fraction form
    307,945.40/461,918.10 = 256,105.40/x
  3. Step 3: Cross multiply
    307,945.40x = 461,918.10 × 256,105.40
  4. Step 4: Simplify right side
    307,945.40x = 118,299,719,767.74
  5. Step 5: Solve for x
    x = 118,299,719,767.74/307,945.40
  6. Step 6: Final answer
    x = 384,158.10

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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.