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Finding the Fourth Proportional to 466,024.32, 698,858.40 and 166,448.64

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Solution

The fourth proportional to 466,024.32, 698,858.40 and 166,448.64 is: 249,609.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,024.32 : 698,858.40 = 166,448.64 : x
  2. Step 2: Convert to fraction form
    466,024.32/698,858.40 = 166,448.64/x
  3. Step 3: Cross multiply
    466,024.32x = 698,858.40 × 166,448.64
  4. Step 4: Simplify right side
    466,024.32x = 116,324,030,232.58
  5. Step 5: Solve for x
    x = 116,324,030,232.58/466,024.32
  6. Step 6: Final answer
    x = 249,609.36

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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.