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Finding the Fourth Proportional to 492,053.28, 737,482.14 and 266,879.76

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Solution

The fourth proportional to 492,053.28, 737,482.14 and 266,879.76 is: 399,995.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,053.28 : 737,482.14 = 266,879.76 : x
  2. Step 2: Convert to fraction form
    492,053.28/737,482.14 = 266,879.76/x
  3. Step 3: Cross multiply
    492,053.28x = 737,482.14 × 266,879.76
  4. Step 4: Simplify right side
    492,053.28x = 196,819,056,527.49
  5. Step 5: Solve for x
    x = 196,819,056,527.49/492,053.28
  6. Step 6: Final answer
    x = 399,995.42

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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.