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Finding the Fourth Proportional to 551,677.16, 827,580.54 and 196,741.64

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Solution

The fourth proportional to 551,677.16, 827,580.54 and 196,741.64 is: 295,135.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,677.16 : 827,580.54 = 196,741.64 : x
  2. Step 2: Convert to fraction form
    551,677.16/827,580.54 = 196,741.64/x
  3. Step 3: Cross multiply
    551,677.16x = 827,580.54 × 196,741.64
  4. Step 4: Simplify right side
    551,677.16x = 162,819,552,671.69
  5. Step 5: Solve for x
    x = 162,819,552,671.69/551,677.16
  6. Step 6: Final answer
    x = 295,135.57

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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.