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Finding the Fourth Proportional to 704,008.80, 1,056,021.84 and 465,648.48

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Solution

The fourth proportional to 704,008.80, 1,056,021.84 and 465,648.48 is: 698,478.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,008.80 : 1,056,021.84 = 465,648.48 : x
  2. Step 2: Convert to fraction form
    704,008.80/1,056,021.84 = 465,648.48/x
  3. Step 3: Cross multiply
    704,008.80x = 1,056,021.84 × 465,648.48
  4. Step 4: Simplify right side
    704,008.80x = 491,734,964,642.80
  5. Step 5: Solve for x
    x = 491,734,964,642.80/704,008.80
  6. Step 6: Final answer
    x = 698,478.43

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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.