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Finding the Fourth Proportional to 415,598.40, 621,842.40 and 275,630.40

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Solution

The fourth proportional to 415,598.40, 621,842.40 and 275,630.40 is: 412,414.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,598.40 : 621,842.40 = 275,630.40 : x
  2. Step 2: Convert to fraction form
    415,598.40/621,842.40 = 275,630.40/x
  3. Step 3: Cross multiply
    415,598.40x = 621,842.40 × 275,630.40
  4. Step 4: Simplify right side
    415,598.40x = 171,398,669,448.96
  5. Step 5: Solve for x
    x = 171,398,669,448.96/415,598.40
  6. Step 6: Final answer
    x = 412,414.17

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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.