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Finding the Fourth Proportional to 283,029.70, 424,544.55 and 188,551.30

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Solution

The fourth proportional to 283,029.70, 424,544.55 and 188,551.30 is: 282,826.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,029.70 : 424,544.55 = 188,551.30 : x
  2. Step 2: Convert to fraction form
    283,029.70/424,544.55 = 188,551.30/x
  3. Step 3: Cross multiply
    283,029.70x = 424,544.55 × 188,551.30
  4. Step 4: Simplify right side
    283,029.70x = 80,048,426,810.42
  5. Step 5: Solve for x
    x = 80,048,426,810.42/283,029.70
  6. Step 6: Final answer
    x = 282,826.95

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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.