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Finding the Fourth Proportional to 1,714,284, 2,571,927.84 and 767,443.68

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Solution

The fourth proportional to 1,714,284, 2,571,927.84 and 767,443.68 is: 1,151,390.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714,284 : 2,571,927.84 = 767,443.68 : x
  2. Step 2: Convert to fraction form
    1,714,284/2,571,927.84 = 767,443.68/x
  3. Step 3: Cross multiply
    1,714,284x = 2,571,927.84 × 767,443.68
  4. Step 4: Simplify right side
    1,714,284x = 1,973,809,766,224.05
  5. Step 5: Solve for x
    x = 1,973,809,766,224.05/1,714,284
  6. Step 6: Final answer
    x = 1,151,390.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.