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Finding the Fourth Proportional to 525,838.88, 788,166.12 and 259,034.24

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Solution

The fourth proportional to 525,838.88, 788,166.12 and 259,034.24 is: 388,259.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,838.88 : 788,166.12 = 259,034.24 : x
  2. Step 2: Convert to fraction form
    525,838.88/788,166.12 = 259,034.24/x
  3. Step 3: Cross multiply
    525,838.88x = 788,166.12 × 259,034.24
  4. Step 4: Simplify right side
    525,838.88x = 204,162,011,887.95
  5. Step 5: Solve for x
    x = 204,162,011,887.95/525,838.88
  6. Step 6: Final answer
    x = 388,259.64

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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.