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Finding the Fourth Proportional to 581,704.70, 802,762.50 and 323,602.25

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Solution

The fourth proportional to 581,704.70, 802,762.50 and 323,602.25 is: 446,576.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,704.70 : 802,762.50 = 323,602.25 : x
  2. Step 2: Convert to fraction form
    581,704.70/802,762.50 = 323,602.25/x
  3. Step 3: Cross multiply
    581,704.70x = 802,762.50 × 323,602.25
  4. Step 4: Simplify right side
    581,704.70x = 259,775,747,201.81
  5. Step 5: Solve for x
    x = 259,775,747,201.81/581,704.70
  6. Step 6: Final answer
    x = 446,576.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.