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Finding the Fourth Proportional to 535,115.24, 738,430.74 and 305,627.42

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Solution

The fourth proportional to 535,115.24, 738,430.74 and 305,627.42 is: 421,749.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,115.24 : 738,430.74 = 305,627.42 : x
  2. Step 2: Convert to fraction form
    535,115.24/738,430.74 = 305,627.42/x
  3. Step 3: Cross multiply
    535,115.24x = 738,430.74 × 305,627.42
  4. Step 4: Simplify right side
    535,115.24x = 225,684,681,914.89
  5. Step 5: Solve for x
    x = 225,684,681,914.89/535,115.24
  6. Step 6: Final answer
    x = 421,749.68

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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.