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Finding the Fourth Proportional to 356,326.80, 534,423.37 and 178,786.14

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Solution

The fourth proportional to 356,326.80, 534,423.37 and 178,786.14 is: 268,145.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,326.80 : 534,423.37 = 178,786.14 : x
  2. Step 2: Convert to fraction form
    356,326.80/534,423.37 = 178,786.14/x
  3. Step 3: Cross multiply
    356,326.80x = 534,423.37 × 178,786.14
  4. Step 4: Simplify right side
    356,326.80x = 95,547,491,448.09
  5. Step 5: Solve for x
    x = 95,547,491,448.09/356,326.80
  6. Step 6: Final answer
    x = 268,145.68

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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.