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Finding the Fourth Proportional to 584,812.92, 876,512.52 and 284,844

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Solution

The fourth proportional to 584,812.92, 876,512.52 and 284,844 is: 426,921.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,812.92 : 876,512.52 = 284,844 : x
  2. Step 2: Convert to fraction form
    584,812.92/876,512.52 = 284,844/x
  3. Step 3: Cross multiply
    584,812.92x = 876,512.52 × 284,844
  4. Step 4: Simplify right side
    584,812.92x = 249,669,332,246.88
  5. Step 5: Solve for x
    x = 249,669,332,246.88/584,812.92
  6. Step 6: Final answer
    x = 426,921.71

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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.