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Finding the Fourth Proportional to 415,814.36, 573,692.82 and 254,501.24

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Solution

The fourth proportional to 415,814.36, 573,692.82 and 254,501.24 is: 351,131.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,814.36 : 573,692.82 = 254,501.24 : x
  2. Step 2: Convert to fraction form
    415,814.36/573,692.82 = 254,501.24/x
  3. Step 3: Cross multiply
    415,814.36x = 573,692.82 × 254,501.24
  4. Step 4: Simplify right side
    415,814.36x = 146,005,534,069.10
  5. Step 5: Solve for x
    x = 146,005,534,069.10/415,814.36
  6. Step 6: Final answer
    x = 351,131.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.