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Finding the Fourth Proportional to 283,299.84, 424,949.76 and 96,311.34

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Solution

The fourth proportional to 283,299.84, 424,949.76 and 96,311.34 is: 144,467.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,299.84 : 424,949.76 = 96,311.34 : x
  2. Step 2: Convert to fraction form
    283,299.84/424,949.76 = 96,311.34/x
  3. Step 3: Cross multiply
    283,299.84x = 424,949.76 × 96,311.34
  4. Step 4: Simplify right side
    283,299.84x = 40,927,480,818.28
  5. Step 5: Solve for x
    x = 40,927,480,818.28/283,299.84
  6. Step 6: Final answer
    x = 144,467.01

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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.