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Finding the Fourth Proportional to 1,582,579.16, 2,183,959.50 and 857,431.88

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Solution

The fourth proportional to 1,582,579.16, 2,183,959.50 and 857,431.88 is: 1,183,256.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582,579.16 : 2,183,959.50 = 857,431.88 : x
  2. Step 2: Convert to fraction form
    1,582,579.16/2,183,959.50 = 857,431.88/x
  3. Step 3: Cross multiply
    1,582,579.16x = 2,183,959.50 × 857,431.88
  4. Step 4: Simplify right side
    1,582,579.16x = 1,872,596,499,928.86
  5. Step 5: Solve for x
    x = 1,872,596,499,928.86/1,582,579.16
  6. Step 6: Final answer
    x = 1,183,256.13

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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.