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Finding the Fourth Proportional to 270,932.84, 406,477.02 and 177,322.76

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Solution

The fourth proportional to 270,932.84, 406,477.02 and 177,322.76 is: 266,035.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,932.84 : 406,477.02 = 177,322.76 : x
  2. Step 2: Convert to fraction form
    270,932.84/406,477.02 = 177,322.76/x
  3. Step 3: Cross multiply
    270,932.84x = 406,477.02 × 177,322.76
  4. Step 4: Simplify right side
    270,932.84x = 72,077,627,062.98
  5. Step 5: Solve for x
    x = 72,077,627,062.98/270,932.84
  6. Step 6: Final answer
    x = 266,035.03

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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.