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Finding the Fourth Proportional to 369,994.29, 510,590.21 and 200,228.42

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Solution

The fourth proportional to 369,994.29, 510,590.21 and 200,228.42 is: 276,314.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,994.29 : 510,590.21 = 200,228.42 : x
  2. Step 2: Convert to fraction form
    369,994.29/510,590.21 = 200,228.42/x
  3. Step 3: Cross multiply
    369,994.29x = 510,590.21 × 200,228.42
  4. Step 4: Simplify right side
    369,994.29x = 102,234,667,461.68
  5. Step 5: Solve for x
    x = 102,234,667,461.68/369,994.29
  6. Step 6: Final answer
    x = 276,314.18

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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.