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Finding the Fourth Proportional to 420,941.94, 631,662.02 and 154,889.30

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Solution

The fourth proportional to 420,941.94, 631,662.02 and 154,889.30 is: 232,425.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,941.94 : 631,662.02 = 154,889.30 : x
  2. Step 2: Convert to fraction form
    420,941.94/631,662.02 = 154,889.30/x
  3. Step 3: Cross multiply
    420,941.94x = 631,662.02 × 154,889.30
  4. Step 4: Simplify right side
    420,941.94x = 97,837,684,181.63
  5. Step 5: Solve for x
    x = 97,837,684,181.63/420,941.94
  6. Step 6: Final answer
    x = 232,425.60

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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.