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Finding the Fourth Proportional to 405,999.60, 608,999.40 and 195,658.80

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Solution

The fourth proportional to 405,999.60, 608,999.40 and 195,658.80 is: 293,488.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,999.60 : 608,999.40 = 195,658.80 : x
  2. Step 2: Convert to fraction form
    405,999.60/608,999.40 = 195,658.80/x
  3. Step 3: Cross multiply
    405,999.60x = 608,999.40 × 195,658.80
  4. Step 4: Simplify right side
    405,999.60x = 119,156,091,804.72
  5. Step 5: Solve for x
    x = 119,156,091,804.72/405,999.60
  6. Step 6: Final answer
    x = 293,488.20

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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.