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Finding the Fourth Proportional to 669,999.40, 924,745.01 and 412,098.03

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Solution

The fourth proportional to 669,999.40, 924,745.01 and 412,098.03 is: 568,784.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,999.40 : 924,745.01 = 412,098.03 : x
  2. Step 2: Convert to fraction form
    669,999.40/924,745.01 = 412,098.03/x
  3. Step 3: Cross multiply
    669,999.40x = 924,745.01 × 412,098.03
  4. Step 4: Simplify right side
    669,999.40x = 381,085,594,812.84
  5. Step 5: Solve for x
    x = 381,085,594,812.84/669,999.40
  6. Step 6: Final answer
    x = 568,784.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.