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Finding the Fourth Proportional to 318,557.76, 477,905.76 and 96,936

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Solution

The fourth proportional to 318,557.76, 477,905.76 and 96,936 is: 145,425.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,557.76 : 477,905.76 = 96,936 : x
  2. Step 2: Convert to fraction form
    318,557.76/477,905.76 = 96,936/x
  3. Step 3: Cross multiply
    318,557.76x = 477,905.76 × 96,936
  4. Step 4: Simplify right side
    318,557.76x = 46,326,272,751.36
  5. Step 5: Solve for x
    x = 46,326,272,751.36/318,557.76
  6. Step 6: Final answer
    x = 145,425.03

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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.