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Finding the Fourth Proportional to 389,731.20, 584,596.80 and 254,428.80

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Solution

The fourth proportional to 389,731.20, 584,596.80 and 254,428.80 is: 381,643.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,731.20 : 584,596.80 = 254,428.80 : x
  2. Step 2: Convert to fraction form
    389,731.20/584,596.80 = 254,428.80/x
  3. Step 3: Cross multiply
    389,731.20x = 584,596.80 × 254,428.80
  4. Step 4: Simplify right side
    389,731.20x = 148,738,262,307.84
  5. Step 5: Solve for x
    x = 148,738,262,307.84/389,731.20
  6. Step 6: Final answer
    x = 381,643.20

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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.