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Finding the Fourth Proportional to 354,266.90, 531,284.73 and 117,546.02

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Solution

The fourth proportional to 354,266.90, 531,284.73 and 117,546.02 is: 176,280.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,266.90 : 531,284.73 = 117,546.02 : x
  2. Step 2: Convert to fraction form
    354,266.90/531,284.73 = 117,546.02/x
  3. Step 3: Cross multiply
    354,266.90x = 531,284.73 × 117,546.02
  4. Step 4: Simplify right side
    354,266.90x = 62,450,405,498.27
  5. Step 5: Solve for x
    x = 62,450,405,498.27/354,266.90
  6. Step 6: Final answer
    x = 176,280.67

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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.