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Finding the Fourth Proportional to 513,657.53, 770,591.39 and 176,654.33

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Solution

The fourth proportional to 513,657.53, 770,591.39 and 176,654.33 is: 265,017.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,657.53 : 770,591.39 = 176,654.33 : x
  2. Step 2: Convert to fraction form
    513,657.53/770,591.39 = 176,654.33/x
  3. Step 3: Cross multiply
    513,657.53x = 770,591.39 × 176,654.33
  4. Step 4: Simplify right side
    513,657.53x = 136,128,300,967.99
  5. Step 5: Solve for x
    x = 136,128,300,967.99/513,657.53
  6. Step 6: Final answer
    x = 265,017.63

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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.