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Finding the Fourth Proportional to 468,075.97, 645,942.89 and 253,215.53

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Solution

The fourth proportional to 468,075.97, 645,942.89 and 253,215.53 is: 349,436.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,075.97 : 645,942.89 = 253,215.53 : x
  2. Step 2: Convert to fraction form
    468,075.97/645,942.89 = 253,215.53/x
  3. Step 3: Cross multiply
    468,075.97x = 645,942.89 × 253,215.53
  4. Step 4: Simplify right side
    468,075.97x = 163,562,768,644.41
  5. Step 5: Solve for x
    x = 163,562,768,644.41/468,075.97
  6. Step 6: Final answer
    x = 349,436.38

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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.