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Finding the Fourth Proportional to 1,413,468.04, 1,949,942.34 and 840,182.44

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Solution

The fourth proportional to 1,413,468.04, 1,949,942.34 and 840,182.44 is: 1,159,069.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413,468.04 : 1,949,942.34 = 840,182.44 : x
  2. Step 2: Convert to fraction form
    1,413,468.04/1,949,942.34 = 840,182.44/x
  3. Step 3: Cross multiply
    1,413,468.04x = 1,949,942.34 × 840,182.44
  4. Step 4: Simplify right side
    1,413,468.04x = 1,638,307,313,080.51
  5. Step 5: Solve for x
    x = 1,638,307,313,080.51/1,413,468.04
  6. Step 6: Final answer
    x = 1,159,069.23

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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.