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Finding the Fourth Proportional to 1,235,712, 1,706,682.24 and 832,604.16

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Solution

The fourth proportional to 1,235,712, 1,706,682.24 and 832,604.16 is: 1,149,936.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235,712 : 1,706,682.24 = 832,604.16 : x
  2. Step 2: Convert to fraction form
    1,235,712/1,706,682.24 = 832,604.16/x
  3. Step 3: Cross multiply
    1,235,712x = 1,706,682.24 × 832,604.16
  4. Step 4: Simplify right side
    1,235,712x = 1,420,990,732,822.12
  5. Step 5: Solve for x
    x = 1,420,990,732,822.12/1,235,712
  6. Step 6: Final answer
    x = 1,149,936.82

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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.