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Finding the Fourth Proportional to 338,996, 467,814.12 and 186,035.06

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Solution

The fourth proportional to 338,996, 467,814.12 and 186,035.06 is: 256,728.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,996 : 467,814.12 = 186,035.06 : x
  2. Step 2: Convert to fraction form
    338,996/467,814.12 = 186,035.06/x
  3. Step 3: Cross multiply
    338,996x = 467,814.12 × 186,035.06
  4. Step 4: Simplify right side
    338,996x = 87,029,827,883.05
  5. Step 5: Solve for x
    x = 87,029,827,883.05/338,996
  6. Step 6: Final answer
    x = 256,728.19

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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.