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Finding the Fourth Proportional to 452,538.51, 678,797.25 and 227,838.62

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Solution

The fourth proportional to 452,538.51, 678,797.25 and 227,838.62 is: 341,752.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,538.51 : 678,797.25 = 227,838.62 : x
  2. Step 2: Convert to fraction form
    452,538.51/678,797.25 = 227,838.62/x
  3. Step 3: Cross multiply
    452,538.51x = 678,797.25 × 227,838.62
  4. Step 4: Simplify right side
    452,538.51x = 154,656,225,305.81
  5. Step 5: Solve for x
    x = 154,656,225,305.81/452,538.51
  6. Step 6: Final answer
    x = 341,752.63

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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.