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Finding the Fourth Proportional to 917,825.82, 1,266,780.96 and 586,469.94

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Solution

The fourth proportional to 917,825.82, 1,266,780.96 and 586,469.94 is: 809,444.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,825.82 : 1,266,780.96 = 586,469.94 : x
  2. Step 2: Convert to fraction form
    917,825.82/1,266,780.96 = 586,469.94/x
  3. Step 3: Cross multiply
    917,825.82x = 1,266,780.96 × 586,469.94
  4. Step 4: Simplify right side
    917,825.82x = 742,928,953,604.34
  5. Step 5: Solve for x
    x = 742,928,953,604.34/917,825.82
  6. Step 6: Final answer
    x = 809,444.38

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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.