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Finding the Fourth Proportional to 405,846.90, 608,914.35 and 405,846.90

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Solution

The fourth proportional to 405,846.90, 608,914.35 and 405,846.90 is: 608,914.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,846.90 : 608,914.35 = 405,846.90 : x
  2. Step 2: Convert to fraction form
    405,846.90/608,914.35 = 405,846.90/x
  3. Step 3: Cross multiply
    405,846.90x = 608,914.35 × 405,846.90
  4. Step 4: Simplify right side
    405,846.90x = 247,126,001,313.02
  5. Step 5: Solve for x
    x = 247,126,001,313.02/405,846.90
  6. Step 6: Final answer
    x = 608,914.35

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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.