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Finding the Fourth Proportional to 1,582,023.76, 2,183,187.52 and 856,869.68

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Solution

The fourth proportional to 1,582,023.76, 2,183,187.52 and 856,869.68 is: 1,182,477.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582,023.76 : 2,183,187.52 = 856,869.68 : x
  2. Step 2: Convert to fraction form
    1,582,023.76/2,183,187.52 = 856,869.68/x
  3. Step 3: Cross multiply
    1,582,023.76x = 2,183,187.52 × 856,869.68
  4. Step 4: Simplify right side
    1,582,023.76x = 1,870,707,191,642.39
  5. Step 5: Solve for x
    x = 1,870,707,191,642.39/1,582,023.76
  6. Step 6: Final answer
    x = 1,182,477.30

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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.