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Finding the Fourth Proportional to 772,698, 1,159,034.68 and 211,732.50

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Solution

The fourth proportional to 772,698, 1,159,034.68 and 211,732.50 is: 317,595.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,698 : 1,159,034.68 = 211,732.50 : x
  2. Step 2: Convert to fraction form
    772,698/1,159,034.68 = 211,732.50/x
  3. Step 3: Cross multiply
    772,698x = 1,159,034.68 × 211,732.50
  4. Step 4: Simplify right side
    772,698x = 245,405,310,383.10
  5. Step 5: Solve for x
    x = 245,405,310,383.10/772,698
  6. Step 6: Final answer
    x = 317,595.37

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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.