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Finding the Fourth Proportional to 512,952.68, 769,444.62 and 175,988.60

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Solution

The fourth proportional to 512,952.68, 769,444.62 and 175,988.60 is: 263,988.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,952.68 : 769,444.62 = 175,988.60 : x
  2. Step 2: Convert to fraction form
    512,952.68/769,444.62 = 175,988.60/x
  3. Step 3: Cross multiply
    512,952.68x = 769,444.62 × 175,988.60
  4. Step 4: Simplify right side
    512,952.68x = 135,413,477,604.11
  5. Step 5: Solve for x
    x = 135,413,477,604.11/512,952.68
  6. Step 6: Final answer
    x = 263,988.25

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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.