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Finding the Fourth Proportional to 308,269.50, 462,404.26 and 86,653.50

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Solution

The fourth proportional to 308,269.50, 462,404.26 and 86,653.50 is: 129,980.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,269.50 : 462,404.26 = 86,653.50 : x
  2. Step 2: Convert to fraction form
    308,269.50/462,404.26 = 86,653.50/x
  3. Step 3: Cross multiply
    308,269.50x = 462,404.26 × 86,653.50
  4. Step 4: Simplify right side
    308,269.50x = 40,068,947,543.91
  5. Step 5: Solve for x
    x = 40,068,947,543.91/308,269.50
  6. Step 6: Final answer
    x = 129,980.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.