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Finding the Fourth Proportional to 490,232.05, 735,348.65 and 153,274.48

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Solution

The fourth proportional to 490,232.05, 735,348.65 and 153,274.48 is: 229,911.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,232.05 : 735,348.65 = 153,274.48 : x
  2. Step 2: Convert to fraction form
    490,232.05/735,348.65 = 153,274.48/x
  3. Step 3: Cross multiply
    490,232.05x = 735,348.65 × 153,274.48
  4. Step 4: Simplify right side
    490,232.05x = 112,710,181,947.45
  5. Step 5: Solve for x
    x = 112,710,181,947.45/490,232.05
  6. Step 6: Final answer
    x = 229,911.90

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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.