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Finding the Fourth Proportional to 288,040.05, 397,495.15 and 160,715.54

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Solution

The fourth proportional to 288,040.05, 397,495.15 and 160,715.54 is: 221,787.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,040.05 : 397,495.15 = 160,715.54 : x
  2. Step 2: Convert to fraction form
    288,040.05/397,495.15 = 160,715.54/x
  3. Step 3: Cross multiply
    288,040.05x = 397,495.15 × 160,715.54
  4. Step 4: Simplify right side
    288,040.05x = 63,883,648,271.58
  5. Step 5: Solve for x
    x = 63,883,648,271.58/288,040.05
  6. Step 6: Final answer
    x = 221,787.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.