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Finding the Fourth Proportional to 410,904.94, 616,357.40 and 111,385.52

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Solution

The fourth proportional to 410,904.94, 616,357.40 and 111,385.52 is: 167,078.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,904.94 : 616,357.40 = 111,385.52 : x
  2. Step 2: Convert to fraction form
    410,904.94/616,357.40 = 111,385.52/x
  3. Step 3: Cross multiply
    410,904.94x = 616,357.40 × 111,385.52
  4. Step 4: Simplify right side
    410,904.94x = 68,653,288,242.42
  5. Step 5: Solve for x
    x = 68,653,288,242.42/410,904.94
  6. Step 6: Final answer
    x = 167,078.27

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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.