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Finding the Fourth Proportional to 275,429.60, 413,186.04 and 97,894.40

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Solution

The fourth proportional to 275,429.60, 413,186.04 and 97,894.40 is: 146,856.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,429.60 : 413,186.04 = 97,894.40 : x
  2. Step 2: Convert to fraction form
    275,429.60/413,186.04 = 97,894.40/x
  3. Step 3: Cross multiply
    275,429.60x = 413,186.04 × 97,894.40
  4. Step 4: Simplify right side
    275,429.60x = 40,448,599,474.18
  5. Step 5: Solve for x
    x = 40,448,599,474.18/275,429.60
  6. Step 6: Final answer
    x = 146,856.40

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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.