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Finding the Fourth Proportional to 643,805.40, 965,703.30 and 194,525.40

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Solution

The fourth proportional to 643,805.40, 965,703.30 and 194,525.40 is: 291,786.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,805.40 : 965,703.30 = 194,525.40 : x
  2. Step 2: Convert to fraction form
    643,805.40/965,703.30 = 194,525.40/x
  3. Step 3: Cross multiply
    643,805.40x = 965,703.30 × 194,525.40
  4. Step 4: Simplify right side
    643,805.40x = 187,853,820,713.82
  5. Step 5: Solve for x
    x = 187,853,820,713.82/643,805.40
  6. Step 6: Final answer
    x = 291,786.65

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1.5x scale

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.