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Finding the Fourth Proportional to 293,714, 405,359.88 and 174,482

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Solution

The fourth proportional to 293,714, 405,359.88 and 174,482 is: 240,805.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,714 : 405,359.88 = 174,482 : x
  2. Step 2: Convert to fraction form
    293,714/405,359.88 = 174,482/x
  3. Step 3: Cross multiply
    293,714x = 405,359.88 × 174,482
  4. Step 4: Simplify right side
    293,714x = 70,728,002,582.16
  5. Step 5: Solve for x
    x = 70,728,002,582.16/293,714
  6. Step 6: Final answer
    x = 240,805.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.