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Finding the Fourth Proportional to 406,869.50, 610,179.65 and 281,316.56

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Solution

The fourth proportional to 406,869.50, 610,179.65 and 281,316.56 is: 421,888.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,869.50 : 610,179.65 = 281,316.56 : x
  2. Step 2: Convert to fraction form
    406,869.50/610,179.65 = 281,316.56/x
  3. Step 3: Cross multiply
    406,869.50x = 610,179.65 × 281,316.56
  4. Step 4: Simplify right side
    406,869.50x = 171,653,638,713.42
  5. Step 5: Solve for x
    x = 171,653,638,713.42/406,869.50
  6. Step 6: Final answer
    x = 421,888.69

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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.