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Finding the Fourth Proportional to 410,544, 615,850.56 and 115,056

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Solution

The fourth proportional to 410,544, 615,850.56 and 115,056 is: 172,593.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,544 : 615,850.56 = 115,056 : x
  2. Step 2: Convert to fraction form
    410,544/615,850.56 = 115,056/x
  3. Step 3: Cross multiply
    410,544x = 615,850.56 × 115,056
  4. Step 4: Simplify right side
    410,544x = 70,857,302,031.36
  5. Step 5: Solve for x
    x = 70,857,302,031.36/410,544
  6. Step 6: Final answer
    x = 172,593.69

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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.