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Finding the Fourth Proportional to 576,008.24, 794,910.46 and 314,377.84

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Solution

The fourth proportional to 576,008.24, 794,910.46 and 314,377.84 is: 433,851.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,008.24 : 794,910.46 = 314,377.84 : x
  2. Step 2: Convert to fraction form
    576,008.24/794,910.46 = 314,377.84/x
  3. Step 3: Cross multiply
    576,008.24x = 794,910.46 × 314,377.84
  4. Step 4: Simplify right side
    576,008.24x = 249,902,233,408.21
  5. Step 5: Solve for x
    x = 249,902,233,408.21/576,008.24
  6. Step 6: Final answer
    x = 433,851.84

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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.