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Finding the Fourth Proportional to 432,068.40, 648,102.60 and 407,136.60

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Solution

The fourth proportional to 432,068.40, 648,102.60 and 407,136.60 is: 610,704.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,068.40 : 648,102.60 = 407,136.60 : x
  2. Step 2: Convert to fraction form
    432,068.40/648,102.60 = 407,136.60/x
  3. Step 3: Cross multiply
    432,068.40x = 648,102.60 × 407,136.60
  4. Step 4: Simplify right side
    432,068.40x = 263,866,289,015.16
  5. Step 5: Solve for x
    x = 263,866,289,015.16/432,068.40
  6. Step 6: Final answer
    x = 610,704.90

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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.