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Finding the Fourth Proportional to 402,896.10, 603,688.05 and 296,607.90

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Solution

The fourth proportional to 402,896.10, 603,688.05 and 296,607.90 is: 444,428.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,896.10 : 603,688.05 = 296,607.90 : x
  2. Step 2: Convert to fraction form
    402,896.10/603,688.05 = 296,607.90/x
  3. Step 3: Cross multiply
    402,896.10x = 603,688.05 × 296,607.90
  4. Step 4: Simplify right side
    402,896.10x = 179,058,644,765.60
  5. Step 5: Solve for x
    x = 179,058,644,765.60/402,896.10
  6. Step 6: Final answer
    x = 444,428.84

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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.