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Finding the Fourth Proportional to 511,226.73, 705,495.69 and 296,494.11

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Solution

The fourth proportional to 511,226.73, 705,495.69 and 296,494.11 is: 409,163.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,226.73 : 705,495.69 = 296,494.11 : x
  2. Step 2: Convert to fraction form
    511,226.73/705,495.69 = 296,494.11/x
  3. Step 3: Cross multiply
    511,226.73x = 705,495.69 × 296,494.11
  4. Step 4: Simplify right side
    511,226.73x = 209,175,316,715.39
  5. Step 5: Solve for x
    x = 209,175,316,715.39/511,226.73
  6. Step 6: Final answer
    x = 409,163.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.