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Finding the Fourth Proportional to 1,582,829.30, 2,184,300.88 and 857,696.65

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Solution

The fourth proportional to 1,582,829.30, 2,184,300.88 and 857,696.65 is: 1,183,619.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582,829.30 : 2,184,300.88 = 857,696.65 : x
  2. Step 2: Convert to fraction form
    1,582,829.30/2,184,300.88 = 857,696.65/x
  3. Step 3: Cross multiply
    1,582,829.30x = 2,184,300.88 × 857,696.65
  4. Step 4: Simplify right side
    1,582,829.30x = 1,873,467,539,763.06
  5. Step 5: Solve for x
    x = 1,873,467,539,763.06/1,582,829.30
  6. Step 6: Final answer
    x = 1,183,619.44

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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.