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Finding the Fourth Proportional to 473,231.36, 709,638.24 and 177,536

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Solution

The fourth proportional to 473,231.36, 709,638.24 and 177,536 is: 266,225.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,231.36 : 709,638.24 = 177,536 : x
  2. Step 2: Convert to fraction form
    473,231.36/709,638.24 = 177,536/x
  3. Step 3: Cross multiply
    473,231.36x = 709,638.24 × 177,536
  4. Step 4: Simplify right side
    473,231.36x = 125,986,334,576.64
  5. Step 5: Solve for x
    x = 125,986,334,576.64/473,231.36
  6. Step 6: Final answer
    x = 266,225.67

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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.