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Finding the Fourth Proportional to 384,977.60, 577,466.40 and 104,529.60

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Solution

The fourth proportional to 384,977.60, 577,466.40 and 104,529.60 is: 156,794.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,977.60 : 577,466.40 = 104,529.60 : x
  2. Step 2: Convert to fraction form
    384,977.60/577,466.40 = 104,529.60/x
  3. Step 3: Cross multiply
    384,977.60x = 577,466.40 × 104,529.60
  4. Step 4: Simplify right side
    384,977.60x = 60,362,331,805.44
  5. Step 5: Solve for x
    x = 60,362,331,805.44/384,977.60
  6. Step 6: Final answer
    x = 156,794.40

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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.