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Finding the Fourth Proportional to 405,875.60, 608,813.40 and 394,211.60

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Solution

The fourth proportional to 405,875.60, 608,813.40 and 394,211.60 is: 591,317.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,875.60 : 608,813.40 = 394,211.60 : x
  2. Step 2: Convert to fraction form
    405,875.60/608,813.40 = 394,211.60/x
  3. Step 3: Cross multiply
    405,875.60x = 608,813.40 × 394,211.60
  4. Step 4: Simplify right side
    405,875.60x = 240,001,304,515.44
  5. Step 5: Solve for x
    x = 240,001,304,515.44/405,875.60
  6. Step 6: Final answer
    x = 591,317.40

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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.