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Finding the Fourth Proportional to 520,063.40, 780,095.10 and 204,415.40

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Solution

The fourth proportional to 520,063.40, 780,095.10 and 204,415.40 is: 306,623.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,063.40 : 780,095.10 = 204,415.40 : x
  2. Step 2: Convert to fraction form
    520,063.40/780,095.10 = 204,415.40/x
  3. Step 3: Cross multiply
    520,063.40x = 780,095.10 × 204,415.40
  4. Step 4: Simplify right side
    520,063.40x = 159,463,451,904.54
  5. Step 5: Solve for x
    x = 159,463,451,904.54/520,063.40
  6. Step 6: Final answer
    x = 306,623.10

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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.