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Finding the Fourth Proportional to 566,802.30, 782,052.86 and 321,732.55

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Solution

The fourth proportional to 566,802.30, 782,052.86 and 321,732.55 is: 443,914.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,802.30 : 782,052.86 = 321,732.55 : x
  2. Step 2: Convert to fraction form
    566,802.30/782,052.86 = 321,732.55/x
  3. Step 3: Cross multiply
    566,802.30x = 782,052.86 × 321,732.55
  4. Step 4: Simplify right side
    566,802.30x = 251,611,855,363.67
  5. Step 5: Solve for x
    x = 251,611,855,363.67/566,802.30
  6. Step 6: Final answer
    x = 443,914.67

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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.