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Finding the Fourth Proportional to 318,553, 477,829.50 and 96,937

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Solution

The fourth proportional to 318,553, 477,829.50 and 96,937 is: 145,405.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,553 : 477,829.50 = 96,937 : x
  2. Step 2: Convert to fraction form
    318,553/477,829.50 = 96,937/x
  3. Step 3: Cross multiply
    318,553x = 477,829.50 × 96,937
  4. Step 4: Simplify right side
    318,553x = 46,319,358,241.50
  5. Step 5: Solve for x
    x = 46,319,358,241.50/318,553
  6. Step 6: Final answer
    x = 145,405.50

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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.