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Finding the Fourth Proportional to 419,048.35, 578,347.67 and 235,307.54

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Solution

The fourth proportional to 419,048.35, 578,347.67 and 235,307.54 is: 324,758.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,048.35 : 578,347.67 = 235,307.54 : x
  2. Step 2: Convert to fraction form
    419,048.35/578,347.67 = 235,307.54/x
  3. Step 3: Cross multiply
    419,048.35x = 578,347.67 × 235,307.54
  4. Step 4: Simplify right side
    419,048.35x = 136,089,567,492.43
  5. Step 5: Solve for x
    x = 136,089,567,492.43/419,048.35
  6. Step 6: Final answer
    x = 324,758.63

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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.