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Finding the Fourth Proportional to 406,516.73, 609,916.57 and 181,900.89

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Solution

The fourth proportional to 406,516.73, 609,916.57 and 181,900.89 is: 272,914.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,516.73 : 609,916.57 = 181,900.89 : x
  2. Step 2: Convert to fraction form
    406,516.73/609,916.57 = 181,900.89/x
  3. Step 3: Cross multiply
    406,516.73x = 609,916.57 × 181,900.89
  4. Step 4: Simplify right side
    406,516.73x = 110,944,366,454.00
  5. Step 5: Solve for x
    x = 110,944,366,454.00/406,516.73
  6. Step 6: Final answer
    x = 272,914.64

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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.