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Finding the Fourth Proportional to 369,864, 510,416.01 and 200,101.77

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Solution

The fourth proportional to 369,864, 510,416.01 and 200,101.77 is: 276,142.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,864 : 510,416.01 = 200,101.77 : x
  2. Step 2: Convert to fraction form
    369,864/510,416.01 = 200,101.77/x
  3. Step 3: Cross multiply
    369,864x = 510,416.01 × 200,101.77
  4. Step 4: Simplify right side
    369,864x = 102,135,147,037.34
  5. Step 5: Solve for x
    x = 102,135,147,037.34/369,864
  6. Step 6: Final answer
    x = 276,142.44

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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.