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Finding the Fourth Proportional to 1,130,679, 1,696,796.10 and 465,831

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Solution

The fourth proportional to 1,130,679, 1,696,796.10 and 465,831 is: 699,066.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130,679 : 1,696,796.10 = 465,831 : x
  2. Step 2: Convert to fraction form
    1,130,679/1,696,796.10 = 465,831/x
  3. Step 3: Cross multiply
    1,130,679x = 1,696,796.10 × 465,831
  4. Step 4: Simplify right side
    1,130,679x = 790,420,224,059.10
  5. Step 5: Solve for x
    x = 790,420,224,059.10/1,130,679
  6. Step 6: Final answer
    x = 699,066.87

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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.