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Finding the Fourth Proportional to 1,306,906.40, 1,831,535.20 and 1,306,906.40

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Solution

The fourth proportional to 1,306,906.40, 1,831,535.20 and 1,306,906.40 is: 1,831,535.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306,906.40 : 1,831,535.20 = 1,306,906.40 : x
  2. Step 2: Convert to fraction form
    1,306,906.40/1,831,535.20 = 1,306,906.40/x
  3. Step 3: Cross multiply
    1,306,906.40x = 1,831,535.20 × 1,306,906.40
  4. Step 4: Simplify right side
    1,306,906.40x = 2,393,645,074,705.28
  5. Step 5: Solve for x
    x = 2,393,645,074,705.28/1,306,906.40
  6. Step 6: Final answer
    x = 1,831,535.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.