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Finding the Fourth Proportional to 763,714, 1,053,808.24 and 441,361.92

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Solution

The fourth proportional to 763,714, 1,053,808.24 and 441,361.92 is: 609,011.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,714 : 1,053,808.24 = 441,361.92 : x
  2. Step 2: Convert to fraction form
    763,714/1,053,808.24 = 441,361.92/x
  3. Step 3: Cross multiply
    763,714x = 1,053,808.24 × 441,361.92
  4. Step 4: Simplify right side
    763,714x = 465,110,828,118.22
  5. Step 5: Solve for x
    x = 465,110,828,118.22/763,714
  6. Step 6: Final answer
    x = 609,011.79

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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.