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Finding the Fourth Proportional to 463,707.42, 693,516.69 and 403,670.22

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Solution

The fourth proportional to 463,707.42, 693,516.69 and 403,670.22 is: 603,725.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,707.42 : 693,516.69 = 403,670.22 : x
  2. Step 2: Convert to fraction form
    463,707.42/693,516.69 = 403,670.22/x
  3. Step 3: Cross multiply
    463,707.42x = 693,516.69 × 403,670.22
  4. Step 4: Simplify right side
    463,707.42x = 279,952,034,825.97
  5. Step 5: Solve for x
    x = 279,952,034,825.97/463,707.42
  6. Step 6: Final answer
    x = 603,725.59

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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.