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Finding the Fourth Proportional to 406,507.34, 609,639.48 and 122,121.83

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Solution

The fourth proportional to 406,507.34, 609,639.48 and 122,121.83 is: 183,146.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,507.34 : 609,639.48 = 122,121.83 : x
  2. Step 2: Convert to fraction form
    406,507.34/609,639.48 = 122,121.83/x
  3. Step 3: Cross multiply
    406,507.34x = 609,639.48 × 122,121.83
  4. Step 4: Simplify right side
    406,507.34x = 74,450,285,889.65
  5. Step 5: Solve for x
    x = 74,450,285,889.65/406,507.34
  6. Step 6: Final answer
    x = 183,146.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.