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Finding the Fourth Proportional to 405,771.40, 608,657.10 and 398,859.40

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Solution

The fourth proportional to 405,771.40, 608,657.10 and 398,859.40 is: 598,289.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,771.40 : 608,657.10 = 398,859.40 : x
  2. Step 2: Convert to fraction form
    405,771.40/608,657.10 = 398,859.40/x
  3. Step 3: Cross multiply
    405,771.40x = 608,657.10 × 398,859.40
  4. Step 4: Simplify right side
    405,771.40x = 242,768,605,711.74
  5. Step 5: Solve for x
    x = 242,768,605,711.74/405,771.40
  6. Step 6: Final answer
    x = 598,289.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.