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Finding the Fourth Proportional to 411,023.94, 616,576.95 and 111,509.46

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Solution

The fourth proportional to 411,023.94, 616,576.95 and 111,509.46 is: 167,275.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,023.94 : 616,576.95 = 111,509.46 : x
  2. Step 2: Convert to fraction form
    411,023.94/616,576.95 = 111,509.46/x
  3. Step 3: Cross multiply
    411,023.94x = 616,576.95 × 111,509.46
  4. Step 4: Simplify right side
    411,023.94x = 68,754,162,742.95
  5. Step 5: Solve for x
    x = 68,754,162,742.95/411,023.94
  6. Step 6: Final answer
    x = 167,275.32

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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.