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Finding the Fourth Proportional to 322,025.63, 483,038.64 and 100,409.63

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Solution

The fourth proportional to 322,025.63, 483,038.64 and 100,409.63 is: 150,614.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,025.63 : 483,038.64 = 100,409.63 : x
  2. Step 2: Convert to fraction form
    322,025.63/483,038.64 = 100,409.63/x
  3. Step 3: Cross multiply
    322,025.63x = 483,038.64 × 100,409.63
  4. Step 4: Simplify right side
    322,025.63x = 48,501,728,702.91
  5. Step 5: Solve for x
    x = 48,501,728,702.91/322,025.63
  6. Step 6: Final answer
    x = 150,614.50

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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.