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Finding the Fourth Proportional to 411,877.58, 617,797.91 and 112,357.19

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Solution

The fourth proportional to 411,877.58, 617,797.91 and 112,357.19 is: 168,530.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,877.58 : 617,797.91 = 112,357.19 : x
  2. Step 2: Convert to fraction form
    411,877.58/617,797.91 = 112,357.19/x
  3. Step 3: Cross multiply
    411,877.58x = 617,797.91 × 112,357.19
  4. Step 4: Simplify right side
    411,877.58x = 69,414,038,980.86
  5. Step 5: Solve for x
    x = 69,414,038,980.86/411,877.58
  6. Step 6: Final answer
    x = 168,530.76

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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.