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Finding the Fourth Proportional to 463,199.32, 638,707.46 and 301,754.98

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Solution

The fourth proportional to 463,199.32, 638,707.46 and 301,754.98 is: 416,091.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,199.32 : 638,707.46 = 301,754.98 : x
  2. Step 2: Convert to fraction form
    463,199.32/638,707.46 = 301,754.98/x
  3. Step 3: Cross multiply
    463,199.32x = 638,707.46 × 301,754.98
  4. Step 4: Simplify right side
    463,199.32x = 192,733,157,239.34
  5. Step 5: Solve for x
    x = 192,733,157,239.34/463,199.32
  6. Step 6: Final answer
    x = 416,091.19

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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.