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Finding the Fourth Proportional to 465,771.60, 698,657.40 and 166,261.95

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Solution

The fourth proportional to 465,771.60, 698,657.40 and 166,261.95 is: 249,392.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,771.60 : 698,657.40 = 166,261.95 : x
  2. Step 2: Convert to fraction form
    465,771.60/698,657.40 = 166,261.95/x
  3. Step 3: Cross multiply
    465,771.60x = 698,657.40 × 166,261.95
  4. Step 4: Simplify right side
    465,771.60x = 116,160,141,705.93
  5. Step 5: Solve for x
    x = 116,160,141,705.93/465,771.60
  6. Step 6: Final answer
    x = 249,392.93

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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.