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Finding the Fourth Proportional to 405,657.10, 608,485.65 and 366,949.90

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Solution

The fourth proportional to 405,657.10, 608,485.65 and 366,949.90 is: 550,424.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,657.10 : 608,485.65 = 366,949.90 : x
  2. Step 2: Convert to fraction form
    405,657.10/608,485.65 = 366,949.90/x
  3. Step 3: Cross multiply
    405,657.10x = 608,485.65 × 366,949.90
  4. Step 4: Simplify right side
    405,657.10x = 223,283,748,418.94
  5. Step 5: Solve for x
    x = 223,283,748,418.94/405,657.10
  6. Step 6: Final answer
    x = 550,424.85

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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.