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Finding the Fourth Proportional to 416,814.82, 574,994.73 and 273,554.98

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Solution

The fourth proportional to 416,814.82, 574,994.73 and 273,554.98 is: 377,368.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,814.82 : 574,994.73 = 273,554.98 : x
  2. Step 2: Convert to fraction form
    416,814.82/574,994.73 = 273,554.98/x
  3. Step 3: Cross multiply
    416,814.82x = 574,994.73 × 273,554.98
  4. Step 4: Simplify right side
    416,814.82x = 157,292,671,865.26
  5. Step 5: Solve for x
    x = 157,292,671,865.26/416,814.82
  6. Step 6: Final answer
    x = 377,368.23

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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.