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Finding the Fourth Proportional to 463,903.32, 694,673.46 and 305,652.12

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Solution

The fourth proportional to 463,903.32, 694,673.46 and 305,652.12 is: 457,699.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,903.32 : 694,673.46 = 305,652.12 : x
  2. Step 2: Convert to fraction form
    463,903.32/694,673.46 = 305,652.12/x
  3. Step 3: Cross multiply
    463,903.32x = 694,673.46 × 305,652.12
  4. Step 4: Simplify right side
    463,903.32x = 212,328,415,756.74
  5. Step 5: Solve for x
    x = 212,328,415,756.74/463,903.32
  6. Step 6: Final answer
    x = 457,699.71

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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.