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Finding the Fourth Proportional to 464,407.28, 640,288.76 and 300,774.68

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Solution

The fourth proportional to 464,407.28, 640,288.76 and 300,774.68 is: 414,684.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,407.28 : 640,288.76 = 300,774.68 : x
  2. Step 2: Convert to fraction form
    464,407.28/640,288.76 = 300,774.68/x
  3. Step 3: Cross multiply
    464,407.28x = 640,288.76 × 300,774.68
  4. Step 4: Simplify right side
    464,407.28x = 192,582,646,896.60
  5. Step 5: Solve for x
    x = 192,582,646,896.60/464,407.28
  6. Step 6: Final answer
    x = 414,684.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.