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Finding the Fourth Proportional to 413,013, 570,158.16 and 276,997.20

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Solution

The fourth proportional to 413,013, 570,158.16 and 276,997.20 is: 382,390.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,013 : 570,158.16 = 276,997.20 : x
  2. Step 2: Convert to fraction form
    413,013/570,158.16 = 276,997.20/x
  3. Step 3: Cross multiply
    413,013x = 570,158.16 × 276,997.20
  4. Step 4: Simplify right side
    413,013x = 157,932,213,877.15
  5. Step 5: Solve for x
    x = 157,932,213,877.15/413,013
  6. Step 6: Final answer
    x = 382,390.42

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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.