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Finding the Fourth Proportional to 469,905.89, 704,745.90 and 216,943.40

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Solution

The fourth proportional to 469,905.89, 704,745.90 and 216,943.40 is: 325,362.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,905.89 : 704,745.90 = 216,943.40 : x
  2. Step 2: Convert to fraction form
    469,905.89/704,745.90 = 216,943.40/x
  3. Step 3: Cross multiply
    469,905.89x = 704,745.90 × 216,943.40
  4. Step 4: Simplify right side
    469,905.89x = 152,889,968,158.33
  5. Step 5: Solve for x
    x = 152,889,968,158.33/469,905.89
  6. Step 6: Final answer
    x = 325,362.96

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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.