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Finding the Fourth Proportional to 411,204.96, 616,675.32 and 130,656.64

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Solution

The fourth proportional to 411,204.96, 616,675.32 and 130,656.64 is: 195,942.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,204.96 : 616,675.32 = 130,656.64 : x
  2. Step 2: Convert to fraction form
    411,204.96/616,675.32 = 130,656.64/x
  3. Step 3: Cross multiply
    411,204.96x = 616,675.32 × 130,656.64
  4. Step 4: Simplify right side
    411,204.96x = 80,572,725,282.12
  5. Step 5: Solve for x
    x = 80,572,725,282.12/411,204.96
  6. Step 6: Final answer
    x = 195,942.98

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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.