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Finding the Fourth Proportional to 405,151.60, 607,727.40 and 138,876.40

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Solution

The fourth proportional to 405,151.60, 607,727.40 and 138,876.40 is: 208,314.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,151.60 : 607,727.40 = 138,876.40 : x
  2. Step 2: Convert to fraction form
    405,151.60/607,727.40 = 138,876.40/x
  3. Step 3: Cross multiply
    405,151.60x = 607,727.40 × 138,876.40
  4. Step 4: Simplify right side
    405,151.60x = 84,398,993,493.36
  5. Step 5: Solve for x
    x = 84,398,993,493.36/405,151.60
  6. Step 6: Final answer
    x = 208,314.60

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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.