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Finding the Fourth Proportional to 586,274.67, 878,819.94 and 282,222.29

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Solution

The fourth proportional to 586,274.67, 878,819.94 and 282,222.29 is: 423,048.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,274.67 : 878,819.94 = 282,222.29 : x
  2. Step 2: Convert to fraction form
    586,274.67/878,819.94 = 282,222.29/x
  3. Step 3: Cross multiply
    586,274.67x = 878,819.94 × 282,222.29
  4. Step 4: Simplify right side
    586,274.67x = 248,022,571,570.36
  5. Step 5: Solve for x
    x = 248,022,571,570.36/586,274.67
  6. Step 6: Final answer
    x = 423,048.42

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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.