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Finding the Fourth Proportional to 525,765.71, 725,557.02 and 284,048.15

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Solution

The fourth proportional to 525,765.71, 725,557.02 and 284,048.15 is: 391,986.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,765.71 : 725,557.02 = 284,048.15 : x
  2. Step 2: Convert to fraction form
    525,765.71/725,557.02 = 284,048.15/x
  3. Step 3: Cross multiply
    525,765.71x = 725,557.02 × 284,048.15
  4. Step 4: Simplify right side
    525,765.71x = 206,093,129,250.51
  5. Step 5: Solve for x
    x = 206,093,129,250.51/525,765.71
  6. Step 6: Final answer
    x = 391,986.63

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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.