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Finding the Fourth Proportional to 327,643.60, 491,465.40 and 216,835.60

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Solution

The fourth proportional to 327,643.60, 491,465.40 and 216,835.60 is: 325,253.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,643.60 : 491,465.40 = 216,835.60 : x
  2. Step 2: Convert to fraction form
    327,643.60/491,465.40 = 216,835.60/x
  3. Step 3: Cross multiply
    327,643.60x = 491,465.40 × 216,835.60
  4. Step 4: Simplify right side
    327,643.60x = 106,567,194,888.24
  5. Step 5: Solve for x
    x = 106,567,194,888.24/327,643.60
  6. Step 6: Final answer
    x = 325,253.40

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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.