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Finding the Fourth Proportional to 407,284.76, 610,681.62 and 182,604.56

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Solution

The fourth proportional to 407,284.76, 610,681.62 and 182,604.56 is: 273,796.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,284.76 : 610,681.62 = 182,604.56 : x
  2. Step 2: Convert to fraction form
    407,284.76/610,681.62 = 182,604.56/x
  3. Step 3: Cross multiply
    407,284.76x = 610,681.62 × 182,604.56
  4. Step 4: Simplify right side
    407,284.76x = 111,513,248,520.19
  5. Step 5: Solve for x
    x = 111,513,248,520.19/407,284.76
  6. Step 6: Final answer
    x = 273,796.76

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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.