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Finding the Fourth Proportional to 397,511.90, 596,271.40 and 113,202.20

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Solution

The fourth proportional to 397,511.90, 596,271.40 and 113,202.20 is: 169,804.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,511.90 : 596,271.40 = 113,202.20 : x
  2. Step 2: Convert to fraction form
    397,511.90/596,271.40 = 113,202.20/x
  3. Step 3: Cross multiply
    397,511.90x = 596,271.40 × 113,202.20
  4. Step 4: Simplify right side
    397,511.90x = 67,499,234,277.08
  5. Step 5: Solve for x
    x = 67,499,234,277.08/397,511.90
  6. Step 6: Final answer
    x = 169,804.31

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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.