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Finding the Fourth Proportional to 525,765.21, 725,556.33 and 284,047.65

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Solution

The fourth proportional to 525,765.21, 725,556.33 and 284,047.65 is: 391,985.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,765.21 : 725,556.33 = 284,047.65 : x
  2. Step 2: Convert to fraction form
    525,765.21/725,556.33 = 284,047.65/x
  3. Step 3: Cross multiply
    525,765.21x = 725,556.33 × 284,047.65
  4. Step 4: Simplify right side
    525,765.21x = 206,092,570,479.13
  5. Step 5: Solve for x
    x = 206,092,570,479.13/525,765.21
  6. Step 6: Final answer
    x = 391,985.94

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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.