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Finding the Fourth Proportional to 290,938.40, 436,623.92 and 216,232.48

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Solution

The fourth proportional to 290,938.40, 436,623.92 and 216,232.48 is: 324,509.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,938.40 : 436,623.92 = 216,232.48 : x
  2. Step 2: Convert to fraction form
    290,938.40/436,623.92 = 216,232.48/x
  3. Step 3: Cross multiply
    290,938.40x = 436,623.92 × 216,232.48
  4. Step 4: Simplify right side
    290,938.40x = 94,412,273,048.92
  5. Step 5: Solve for x
    x = 94,412,273,048.92/290,938.40
  6. Step 6: Final answer
    x = 324,509.49

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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.