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Finding the Fourth Proportional to 283,051.20, 424,576.80 and 283,051.20

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Solution

The fourth proportional to 283,051.20, 424,576.80 and 283,051.20 is: 424,576.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,051.20 : 424,576.80 = 283,051.20 : x
  2. Step 2: Convert to fraction form
    283,051.20/424,576.80 = 283,051.20/x
  3. Step 3: Cross multiply
    283,051.20x = 424,576.80 × 283,051.20
  4. Step 4: Simplify right side
    283,051.20x = 120,176,972,732.16
  5. Step 5: Solve for x
    x = 120,176,972,732.16/283,051.20
  6. Step 6: Final answer
    x = 424,576.80

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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.