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Finding the Fourth Proportional to 653,694.12, 902,136.42 and 492,264.36

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Solution

The fourth proportional to 653,694.12, 902,136.42 and 492,264.36 is: 679,353.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,694.12 : 902,136.42 = 492,264.36 : x
  2. Step 2: Convert to fraction form
    653,694.12/902,136.42 = 492,264.36/x
  3. Step 3: Cross multiply
    653,694.12x = 902,136.42 × 492,264.36
  4. Step 4: Simplify right side
    653,694.12x = 444,089,607,423.99
  5. Step 5: Solve for x
    x = 444,089,607,423.99/653,694.12
  6. Step 6: Final answer
    x = 679,353.84

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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.