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Finding the Fourth Proportional to 465,802.14, 698,850.90 and 166,276.29

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Solution

The fourth proportional to 465,802.14, 698,850.90 and 166,276.29 is: 249,467.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,802.14 : 698,850.90 = 166,276.29 : x
  2. Step 2: Convert to fraction form
    465,802.14/698,850.90 = 166,276.29/x
  3. Step 3: Cross multiply
    465,802.14x = 698,850.90 × 166,276.29
  4. Step 4: Simplify right side
    465,802.14x = 116,202,334,915.16
  5. Step 5: Solve for x
    x = 116,202,334,915.16/465,802.14
  6. Step 6: Final answer
    x = 249,467.16

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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.