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Finding the Fourth Proportional to 412,023.64, 617,938.50 and 232,187.48

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Solution

The fourth proportional to 412,023.64, 617,938.50 and 232,187.48 is: 348,226.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,023.64 : 617,938.50 = 232,187.48 : x
  2. Step 2: Convert to fraction form
    412,023.64/617,938.50 = 232,187.48/x
  3. Step 3: Cross multiply
    412,023.64x = 617,938.50 × 232,187.48
  4. Step 4: Simplify right side
    412,023.64x = 143,477,583,109.98
  5. Step 5: Solve for x
    x = 143,477,583,109.98/412,023.64
  6. Step 6: Final answer
    x = 348,226.58

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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.