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Finding the Fourth Proportional to 525,767.05, 725,557.64 and 284,048.88

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Solution

The fourth proportional to 525,767.05, 725,557.64 and 284,048.88 is: 391,986.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,767.05 : 725,557.64 = 284,048.88 : x
  2. Step 2: Convert to fraction form
    525,767.05/725,557.64 = 284,048.88/x
  3. Step 3: Cross multiply
    525,767.05x = 725,557.64 × 284,048.88
  4. Step 4: Simplify right side
    525,767.05x = 206,093,830,876.36
  5. Step 5: Solve for x
    x = 206,093,830,876.36/525,767.05
  6. Step 6: Final answer
    x = 391,986.97

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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.