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Finding the Fourth Proportional to 291,499.40, 436,212.30 and 202,334.60

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Solution

The fourth proportional to 291,499.40, 436,212.30 and 202,334.60 is: 302,782.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,499.40 : 436,212.30 = 202,334.60 : x
  2. Step 2: Convert to fraction form
    291,499.40/436,212.30 = 202,334.60/x
  3. Step 3: Cross multiply
    291,499.40x = 436,212.30 × 202,334.60
  4. Step 4: Simplify right side
    291,499.40x = 88,260,841,235.58
  5. Step 5: Solve for x
    x = 88,260,841,235.58/291,499.40
  6. Step 6: Final answer
    x = 302,782.24

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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.