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Finding the Fourth Proportional to 384,652.36, 576,978.54 and 148,106.44

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Solution

The fourth proportional to 384,652.36, 576,978.54 and 148,106.44 is: 222,159.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,652.36 : 576,978.54 = 148,106.44 : x
  2. Step 2: Convert to fraction form
    384,652.36/576,978.54 = 148,106.44/x
  3. Step 3: Cross multiply
    384,652.36x = 576,978.54 × 148,106.44
  4. Step 4: Simplify right side
    384,652.36x = 85,454,237,515.80
  5. Step 5: Solve for x
    x = 85,454,237,515.80/384,652.36
  6. Step 6: Final answer
    x = 222,159.66

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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.