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Finding the Fourth Proportional to 345,703.44, 477,053.64 and 194,810.16

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Solution

The fourth proportional to 345,703.44, 477,053.64 and 194,810.16 is: 268,828.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,703.44 : 477,053.64 = 194,810.16 : x
  2. Step 2: Convert to fraction form
    345,703.44/477,053.64 = 194,810.16/x
  3. Step 3: Cross multiply
    345,703.44x = 477,053.64 × 194,810.16
  4. Step 4: Simplify right side
    345,703.44x = 92,934,895,936.98
  5. Step 5: Solve for x
    x = 92,934,895,936.98/345,703.44
  6. Step 6: Final answer
    x = 268,828.38

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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.