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Finding the Fourth Proportional to 393,638.40, 590,457.60 and 144,417.60

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Solution

The fourth proportional to 393,638.40, 590,457.60 and 144,417.60 is: 216,626.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,638.40 : 590,457.60 = 144,417.60 : x
  2. Step 2: Convert to fraction form
    393,638.40/590,457.60 = 144,417.60/x
  3. Step 3: Cross multiply
    393,638.40x = 590,457.60 × 144,417.60
  4. Step 4: Simplify right side
    393,638.40x = 85,272,469,493.76
  5. Step 5: Solve for x
    x = 85,272,469,493.76/393,638.40
  6. Step 6: Final answer
    x = 216,626.40

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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.