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Finding the Fourth Proportional to 384,768.16, 577,152.24 and 104,285.41

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Solution

The fourth proportional to 384,768.16, 577,152.24 and 104,285.41 is: 156,428.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,768.16 : 577,152.24 = 104,285.41 : x
  2. Step 2: Convert to fraction form
    384,768.16/577,152.24 = 104,285.41/x
  3. Step 3: Cross multiply
    384,768.16x = 577,152.24 × 104,285.41
  4. Step 4: Simplify right side
    384,768.16x = 60,188,557,980.82
  5. Step 5: Solve for x
    x = 60,188,557,980.82/384,768.16
  6. Step 6: Final answer
    x = 156,428.12

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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.