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Finding the Fourth Proportional to 405,168, 606,210 and 244,653.12

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Solution

The fourth proportional to 405,168, 606,210 and 244,653.12 is: 366,048.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,168 : 606,210 = 244,653.12 : x
  2. Step 2: Convert to fraction form
    405,168/606,210 = 244,653.12/x
  3. Step 3: Cross multiply
    405,168x = 606,210 × 244,653.12
  4. Step 4: Simplify right side
    405,168x = 148,311,167,875.20
  5. Step 5: Solve for x
    x = 148,311,167,875.20/405,168
  6. Step 6: Final answer
    x = 366,048.57

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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.