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Finding the Fourth Proportional to 322,950.16, 445,418.76 and 209,809.36

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Solution

The fourth proportional to 322,950.16, 445,418.76 and 209,809.36 is: 289,372.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,950.16 : 445,418.76 = 209,809.36 : x
  2. Step 2: Convert to fraction form
    322,950.16/445,418.76 = 209,809.36/x
  3. Step 3: Cross multiply
    322,950.16x = 445,418.76 × 209,809.36
  4. Step 4: Simplify right side
    322,950.16x = 93,453,024,967.59
  5. Step 5: Solve for x
    x = 93,453,024,967.59/322,950.16
  6. Step 6: Final answer
    x = 289,372.90

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1.5x scale

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.