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Finding the Fourth Proportional to 463,708.42, 693,518.19 and 403,671.22

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Solution

The fourth proportional to 463,708.42, 693,518.19 and 403,671.22 is: 603,727.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,708.42 : 693,518.19 = 403,671.22 : x
  2. Step 2: Convert to fraction form
    463,708.42/693,518.19 = 403,671.22/x
  3. Step 3: Cross multiply
    463,708.42x = 693,518.19 × 403,671.22
  4. Step 4: Simplify right side
    463,708.42x = 279,953,333,849.49
  5. Step 5: Solve for x
    x = 279,953,333,849.49/463,708.42
  6. Step 6: Final answer
    x = 603,727.09

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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.