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Finding the Fourth Proportional to 341,998.47, 513,101.49 and 182,047.16

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Solution

The fourth proportional to 341,998.47, 513,101.49 and 182,047.16 is: 273,125.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,998.47 : 513,101.49 = 182,047.16 : x
  2. Step 2: Convert to fraction form
    341,998.47/513,101.49 = 182,047.16/x
  3. Step 3: Cross multiply
    341,998.47x = 513,101.49 × 182,047.16
  4. Step 4: Simplify right side
    341,998.47x = 93,408,669,646.35
  5. Step 5: Solve for x
    x = 93,408,669,646.35/341,998.47
  6. Step 6: Final answer
    x = 273,125.99

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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.