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Finding the Fourth Proportional to 472,993.80, 709,490.70 and 449,665.80

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Solution

The fourth proportional to 472,993.80, 709,490.70 and 449,665.80 is: 674,498.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,993.80 : 709,490.70 = 449,665.80 : x
  2. Step 2: Convert to fraction form
    472,993.80/709,490.70 = 449,665.80/x
  3. Step 3: Cross multiply
    472,993.80x = 709,490.70 × 449,665.80
  4. Step 4: Simplify right side
    472,993.80x = 319,033,703,208.06
  5. Step 5: Solve for x
    x = 319,033,703,208.06/472,993.80
  6. Step 6: Final answer
    x = 674,498.70

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Similar ratio
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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.