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Finding the Fourth Proportional to 406,068.48, 560,389.44 and 222,319.92

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Solution

The fourth proportional to 406,068.48, 560,389.44 and 222,319.92 is: 306,809.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,068.48 : 560,389.44 = 222,319.92 : x
  2. Step 2: Convert to fraction form
    406,068.48/560,389.44 = 222,319.92/x
  3. Step 3: Cross multiply
    406,068.48x = 560,389.44 × 222,319.92
  4. Step 4: Simplify right side
    406,068.48x = 124,585,735,469.65
  5. Step 5: Solve for x
    x = 124,585,735,469.65/406,068.48
  6. Step 6: Final answer
    x = 306,809.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.