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Finding the Fourth Proportional to 784,634.80, 1,082,785.80 and 462,358.48

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Solution

The fourth proportional to 784,634.80, 1,082,785.80 and 462,358.48 is: 638,048.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,634.80 : 1,082,785.80 = 462,358.48 : x
  2. Step 2: Convert to fraction form
    784,634.80/1,082,785.80 = 462,358.48/x
  3. Step 3: Cross multiply
    784,634.80x = 1,082,785.80 × 462,358.48
  4. Step 4: Simplify right side
    784,634.80x = 500,635,196,653.58
  5. Step 5: Solve for x
    x = 500,635,196,653.58/784,634.80
  6. Step 6: Final answer
    x = 638,048.68

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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.