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Finding the Fourth Proportional to 275,409.60, 413,211.60 and 97,922.40

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Solution

The fourth proportional to 275,409.60, 413,211.60 and 97,922.40 is: 146,918.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,409.60 : 413,211.60 = 97,922.40 : x
  2. Step 2: Convert to fraction form
    275,409.60/413,211.60 = 97,922.40/x
  3. Step 3: Cross multiply
    275,409.60x = 413,211.60 × 97,922.40
  4. Step 4: Simplify right side
    275,409.60x = 40,462,671,579.84
  5. Step 5: Solve for x
    x = 40,462,671,579.84/275,409.60
  6. Step 6: Final answer
    x = 146,918.16

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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.