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Finding the Fourth Proportional to 602,183.16, 903,293.64 and 223,198.74

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Solution

The fourth proportional to 602,183.16, 903,293.64 and 223,198.74 is: 334,805.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,183.16 : 903,293.64 = 223,198.74 : x
  2. Step 2: Convert to fraction form
    602,183.16/903,293.64 = 223,198.74/x
  3. Step 3: Cross multiply
    602,183.16x = 903,293.64 × 223,198.74
  4. Step 4: Simplify right side
    602,183.16x = 201,614,002,298.01
  5. Step 5: Solve for x
    x = 201,614,002,298.01/602,183.16
  6. Step 6: Final answer
    x = 334,805.12

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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.