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Finding the Fourth Proportional to 405,966.80, 608,950.20 and 390,414.80

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Solution

The fourth proportional to 405,966.80, 608,950.20 and 390,414.80 is: 585,622.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,966.80 : 608,950.20 = 390,414.80 : x
  2. Step 2: Convert to fraction form
    405,966.80/608,950.20 = 390,414.80/x
  3. Step 3: Cross multiply
    405,966.80x = 608,950.20 × 390,414.80
  4. Step 4: Simplify right side
    405,966.80x = 237,743,170,542.96
  5. Step 5: Solve for x
    x = 237,743,170,542.96/405,966.80
  6. Step 6: Final answer
    x = 585,622.20

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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.