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Finding the Fourth Proportional to 520,297.50, 780,741.50 and 204,975.84

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Solution

The fourth proportional to 520,297.50, 780,741.50 and 204,975.84 is: 307,580.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,297.50 : 780,741.50 = 204,975.84 : x
  2. Step 2: Convert to fraction form
    520,297.50/780,741.50 = 204,975.84/x
  3. Step 3: Cross multiply
    520,297.50x = 780,741.50 × 204,975.84
  4. Step 4: Simplify right side
    520,297.50x = 160,033,144,785.36
  5. Step 5: Solve for x
    x = 160,033,144,785.36/520,297.50
  6. Step 6: Final answer
    x = 307,580.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.