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Finding the Fourth Proportional to 329,101.30, 493,651.95 and 216,908.20

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Solution

The fourth proportional to 329,101.30, 493,651.95 and 216,908.20 is: 325,362.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,101.30 : 493,651.95 = 216,908.20 : x
  2. Step 2: Convert to fraction form
    329,101.30/493,651.95 = 216,908.20/x
  3. Step 3: Cross multiply
    329,101.30x = 493,651.95 × 216,908.20
  4. Step 4: Simplify right side
    329,101.30x = 107,077,155,900.99
  5. Step 5: Solve for x
    x = 107,077,155,900.99/329,101.30
  6. Step 6: Final answer
    x = 325,362.30

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1.5x scale

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.