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Finding the Fourth Proportional to 364,904.69, 547,409.42 and 112,206.43

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Solution

The fourth proportional to 364,904.69, 547,409.42 and 112,206.43 is: 168,325.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,904.69 : 547,409.42 = 112,206.43 : x
  2. Step 2: Convert to fraction form
    364,904.69/547,409.42 = 112,206.43/x
  3. Step 3: Cross multiply
    364,904.69x = 547,409.42 × 112,206.43
  4. Step 4: Simplify right side
    364,904.69x = 61,422,853,468.49
  5. Step 5: Solve for x
    x = 61,422,853,468.49/364,904.69
  6. Step 6: Final answer
    x = 168,325.74

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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.