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Finding the Fourth Proportional to 477,804.62, 716,682.81 and 178,261.76

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Solution

The fourth proportional to 477,804.62, 716,682.81 and 178,261.76 is: 267,383.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,804.62 : 716,682.81 = 178,261.76 : x
  2. Step 2: Convert to fraction form
    477,804.62/716,682.81 = 178,261.76/x
  3. Step 3: Cross multiply
    477,804.62x = 716,682.81 × 178,261.76
  4. Step 4: Simplify right side
    477,804.62x = 127,757,139,072.35
  5. Step 5: Solve for x
    x = 127,757,139,072.35/477,804.62
  6. Step 6: Final answer
    x = 267,383.64

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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.