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Finding the Fourth Proportional to 256,300.80, 383,941.76 and 200,636.16

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Solution

The fourth proportional to 256,300.80, 383,941.76 and 200,636.16 is: 300,555.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,300.80 : 383,941.76 = 200,636.16 : x
  2. Step 2: Convert to fraction form
    256,300.80/383,941.76 = 200,636.16/x
  3. Step 3: Cross multiply
    256,300.80x = 383,941.76 × 200,636.16
  4. Step 4: Simplify right side
    256,300.80x = 77,032,600,390.04
  5. Step 5: Solve for x
    x = 77,032,600,390.04/256,300.80
  6. Step 6: Final answer
    x = 300,555.44

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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.