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Finding the Fourth Proportional to 350,314.79, 483,470.11 and 214,438.52

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Solution

The fourth proportional to 350,314.79, 483,470.11 and 214,438.52 is: 295,947.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,314.79 : 483,470.11 = 214,438.52 : x
  2. Step 2: Convert to fraction form
    350,314.79/483,470.11 = 214,438.52/x
  3. Step 3: Cross multiply
    350,314.79x = 483,470.11 × 214,438.52
  4. Step 4: Simplify right side
    350,314.79x = 103,674,616,329.36
  5. Step 5: Solve for x
    x = 103,674,616,329.36/350,314.79
  6. Step 6: Final answer
    x = 295,947.02

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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.