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Finding the Fourth Proportional to 551,242.20, 826,076.10 and 314,083.80

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Solution

The fourth proportional to 551,242.20, 826,076.10 and 314,083.80 is: 470,677.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,242.20 : 826,076.10 = 314,083.80 : x
  2. Step 2: Convert to fraction form
    551,242.20/826,076.10 = 314,083.80/x
  3. Step 3: Cross multiply
    551,242.20x = 826,076.10 × 314,083.80
  4. Step 4: Simplify right side
    551,242.20x = 259,457,120,577.18
  5. Step 5: Solve for x
    x = 259,457,120,577.18/551,242.20
  6. Step 6: Final answer
    x = 470,677.17

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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.