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Finding the Fourth Proportional to 405,464.80, 608,139.60 and 139,237.60

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Solution

The fourth proportional to 405,464.80, 608,139.60 and 139,237.60 is: 208,836.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,464.80 : 608,139.60 = 139,237.60 : x
  2. Step 2: Convert to fraction form
    405,464.80/608,139.60 = 139,237.60/x
  3. Step 3: Cross multiply
    405,464.80x = 608,139.60 × 139,237.60
  4. Step 4: Simplify right side
    405,464.80x = 84,675,898,368.96
  5. Step 5: Solve for x
    x = 84,675,898,368.96/405,464.80
  6. Step 6: Final answer
    x = 208,836.62

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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.