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Finding the Fourth Proportional to 283,376.30, 424,080.30 and 194,802.80

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Solution

The fourth proportional to 283,376.30, 424,080.30 and 194,802.80 is: 291,527.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,376.30 : 424,080.30 = 194,802.80 : x
  2. Step 2: Convert to fraction form
    283,376.30/424,080.30 = 194,802.80/x
  3. Step 3: Cross multiply
    283,376.30x = 424,080.30 × 194,802.80
  4. Step 4: Simplify right side
    283,376.30x = 82,612,029,864.84
  5. Step 5: Solve for x
    x = 82,612,029,864.84/283,376.30
  6. Step 6: Final answer
    x = 291,527.66

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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.