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Finding the Fourth Proportional to 504,260.58, 756,539 and 149,283.82

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Solution

The fourth proportional to 504,260.58, 756,539 and 149,283.82 is: 223,969.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,260.58 : 756,539 = 149,283.82 : x
  2. Step 2: Convert to fraction form
    504,260.58/756,539 = 149,283.82/x
  3. Step 3: Cross multiply
    504,260.58x = 756,539 × 149,283.82
  4. Step 4: Simplify right side
    504,260.58x = 112,939,031,898.98
  5. Step 5: Solve for x
    x = 112,939,031,898.98/504,260.58
  6. Step 6: Final answer
    x = 223,969.58

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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.