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Finding the Fourth Proportional to 405,820.80, 608,731.20 and 389,491.20

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Solution

The fourth proportional to 405,820.80, 608,731.20 and 389,491.20 is: 584,236.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,820.80 : 608,731.20 = 389,491.20 : x
  2. Step 2: Convert to fraction form
    405,820.80/608,731.20 = 389,491.20/x
  3. Step 3: Cross multiply
    405,820.80x = 608,731.20 × 389,491.20
  4. Step 4: Simplify right side
    405,820.80x = 237,095,445,565.44
  5. Step 5: Solve for x
    x = 237,095,445,565.44/405,820.80
  6. Step 6: Final answer
    x = 584,236.80

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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.