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Finding the Fourth Proportional to 484,782.04, 727,145.71 and 214,832.43

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Solution

The fourth proportional to 484,782.04, 727,145.71 and 214,832.43 is: 322,236.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,782.04 : 727,145.71 = 214,832.43 : x
  2. Step 2: Convert to fraction form
    484,782.04/727,145.71 = 214,832.43/x
  3. Step 3: Cross multiply
    484,782.04x = 727,145.71 × 214,832.43
  4. Step 4: Simplify right side
    484,782.04x = 156,214,477,261.20
  5. Step 5: Solve for x
    x = 156,214,477,261.20/484,782.04
  6. Step 6: Final answer
    x = 322,236.52

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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.