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Finding the Fourth Proportional to 1,409,392.83, 1,944,967.38 and 764,813.16

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Solution

The fourth proportional to 1,409,392.83, 1,944,967.38 and 764,813.16 is: 1,055,445.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409,392.83 : 1,944,967.38 = 764,813.16 : x
  2. Step 2: Convert to fraction form
    1,409,392.83/1,944,967.38 = 764,813.16/x
  3. Step 3: Cross multiply
    1,409,392.83x = 1,944,967.38 × 764,813.16
  4. Step 4: Simplify right side
    1,409,392.83x = 1,487,536,647,994.72
  5. Step 5: Solve for x
    x = 1,487,536,647,994.72/1,409,392.83
  6. Step 6: Final answer
    x = 1,055,445.02

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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.