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Finding the Fourth Proportional to 750,714.75, 1,035,986.49 and 411,195.15

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Solution

The fourth proportional to 750,714.75, 1,035,986.49 and 411,195.15 is: 567,449.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    750,714.75 : 1,035,986.49 = 411,195.15 : x
  2. Step 2: Convert to fraction form
    750,714.75/1,035,986.49 = 411,195.15/x
  3. Step 3: Cross multiply
    750,714.75x = 1,035,986.49 × 411,195.15
  4. Step 4: Simplify right side
    750,714.75x = 425,992,620,153.52
  5. Step 5: Solve for x
    x = 425,992,620,153.52/750,714.75
  6. Step 6: Final answer
    x = 567,449.38

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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.