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Finding the Fourth Proportional to 229,812.30, 344,977.65 and 177,453.90

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Solution

The fourth proportional to 229,812.30, 344,977.65 and 177,453.90 is: 266,381.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,812.30 : 344,977.65 = 177,453.90 : x
  2. Step 2: Convert to fraction form
    229,812.30/344,977.65 = 177,453.90/x
  3. Step 3: Cross multiply
    229,812.30x = 344,977.65 × 177,453.90
  4. Step 4: Simplify right side
    229,812.30x = 61,217,629,405.34
  5. Step 5: Solve for x
    x = 61,217,629,405.34/229,812.30
  6. Step 6: Final answer
    x = 266,381.00

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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.