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Finding the Fourth Proportional to 405,683.80, 608,468.10 and 139,456.60

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Solution

The fourth proportional to 405,683.80, 608,468.10 and 139,456.60 is: 209,165.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,683.80 : 608,468.10 = 139,456.60 : x
  2. Step 2: Convert to fraction form
    405,683.80/608,468.10 = 139,456.60/x
  3. Step 3: Cross multiply
    405,683.80x = 608,468.10 × 139,456.60
  4. Step 4: Simplify right side
    405,683.80x = 84,854,892,434.46
  5. Step 5: Solve for x
    x = 84,854,892,434.46/405,683.80
  6. Step 6: Final answer
    x = 209,165.10

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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.