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Finding the Fourth Proportional to 523,947, 723,046.86 and 285,483

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Solution

The fourth proportional to 523,947, 723,046.86 and 285,483 is: 393,966.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,947 : 723,046.86 = 285,483 : x
  2. Step 2: Convert to fraction form
    523,947/723,046.86 = 285,483/x
  3. Step 3: Cross multiply
    523,947x = 723,046.86 × 285,483
  4. Step 4: Simplify right side
    523,947x = 206,417,586,733.38
  5. Step 5: Solve for x
    x = 206,417,586,733.38/523,947
  6. Step 6: Final answer
    x = 393,966.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.