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Finding the Fourth Proportional to 523,107.83, 783,930.95 and 282,703.46

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Solution

The fourth proportional to 523,107.83, 783,930.95 and 282,703.46 is: 423,660.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,107.83 : 783,930.95 = 282,703.46 : x
  2. Step 2: Convert to fraction form
    523,107.83/783,930.95 = 282,703.46/x
  3. Step 3: Cross multiply
    523,107.83x = 783,930.95 × 282,703.46
  4. Step 4: Simplify right side
    523,107.83x = 221,619,987,693.05
  5. Step 5: Solve for x
    x = 221,619,987,693.05/523,107.83
  6. Step 6: Final answer
    x = 423,660.24

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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.