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Finding the Fourth Proportional to 283,423.76, 424,136.74 and 176,857.91

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Solution

The fourth proportional to 283,423.76, 424,136.74 and 176,857.91 is: 264,663.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,423.76 : 424,136.74 = 176,857.91 : x
  2. Step 2: Convert to fraction form
    283,423.76/424,136.74 = 176,857.91/x
  3. Step 3: Cross multiply
    283,423.76x = 424,136.74 × 176,857.91
  4. Step 4: Simplify right side
    283,423.76x = 75,011,936,023.35
  5. Step 5: Solve for x
    x = 75,011,936,023.35/283,423.76
  6. Step 6: Final answer
    x = 264,663.54

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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.