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Finding the Fourth Proportional to 275,600.70, 413,401.05 and 256,938.30

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Solution

The fourth proportional to 275,600.70, 413,401.05 and 256,938.30 is: 385,407.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,600.70 : 413,401.05 = 256,938.30 : x
  2. Step 2: Convert to fraction form
    275,600.70/413,401.05 = 256,938.30/x
  3. Step 3: Cross multiply
    275,600.70x = 413,401.05 × 256,938.30
  4. Step 4: Simplify right side
    275,600.70x = 106,218,563,005.22
  5. Step 5: Solve for x
    x = 106,218,563,005.22/275,600.70
  6. Step 6: Final answer
    x = 385,407.45

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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.