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Finding the Fourth Proportional to 406,976.60, 610,043.70 and 182,444.60

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Solution

The fourth proportional to 406,976.60, 610,043.70 and 182,444.60 is: 273,478.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,976.60 : 610,043.70 = 182,444.60 : x
  2. Step 2: Convert to fraction form
    406,976.60/610,043.70 = 182,444.60/x
  3. Step 3: Cross multiply
    406,976.60x = 610,043.70 × 182,444.60
  4. Step 4: Simplify right side
    406,976.60x = 111,299,178,829.02
  5. Step 5: Solve for x
    x = 111,299,178,829.02/406,976.60
  6. Step 6: Final answer
    x = 273,478.08

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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.