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Finding the Fourth Proportional to 1,049,422.96, 1,448,197 and 596,714

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Solution

The fourth proportional to 1,049,422.96, 1,448,197 and 596,714 is: 823,461.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049,422.96 : 1,448,197 = 596,714 : x
  2. Step 2: Convert to fraction form
    1,049,422.96/1,448,197 = 596,714/x
  3. Step 3: Cross multiply
    1,049,422.96x = 1,448,197 × 596,714
  4. Step 4: Simplify right side
    1,049,422.96x = 864,159,424,658
  5. Step 5: Solve for x
    x = 864,159,424,658/1,049,422.96
  6. Step 6: Final answer
    x = 823,461.52

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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.