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Finding the Fourth Proportional to 329,614, 494,127.78 and 119,205.16

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Solution

The fourth proportional to 329,614, 494,127.78 and 119,205.16 is: 178,701.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,614 : 494,127.78 = 119,205.16 : x
  2. Step 2: Convert to fraction form
    329,614/494,127.78 = 119,205.16/x
  3. Step 3: Cross multiply
    329,614x = 494,127.78 × 119,205.16
  4. Step 4: Simplify right side
    329,614x = 58,902,581,075.34
  5. Step 5: Solve for x
    x = 58,902,581,075.34/329,614
  6. Step 6: Final answer
    x = 178,701.70

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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.