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Finding the Fourth Proportional to 409,664.40, 614,496.60 and 364,563.60

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Solution

The fourth proportional to 409,664.40, 614,496.60 and 364,563.60 is: 546,845.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,664.40 : 614,496.60 = 364,563.60 : x
  2. Step 2: Convert to fraction form
    409,664.40/614,496.60 = 364,563.60/x
  3. Step 3: Cross multiply
    409,664.40x = 614,496.60 × 364,563.60
  4. Step 4: Simplify right side
    409,664.40x = 224,023,092,683.76
  5. Step 5: Solve for x
    x = 224,023,092,683.76/409,664.40
  6. Step 6: Final answer
    x = 546,845.40

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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.