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Finding the Fourth Proportional to 369,997.48, 510,596.52 and 200,231.64

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Solution

The fourth proportional to 369,997.48, 510,596.52 and 200,231.64 is: 276,319.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,997.48 : 510,596.52 = 200,231.64 : x
  2. Step 2: Convert to fraction form
    369,997.48/510,596.52 = 200,231.64/x
  3. Step 3: Cross multiply
    369,997.48x = 510,596.52 × 200,231.64
  4. Step 4: Simplify right side
    369,997.48x = 102,237,578,577.89
  5. Step 5: Solve for x
    x = 102,237,578,577.89/369,997.48
  6. Step 6: Final answer
    x = 276,319.66

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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.