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Finding the Fourth Proportional to 520,063.80, 780,095.70 and 380,095.80

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Solution

The fourth proportional to 520,063.80, 780,095.70 and 380,095.80 is: 570,143.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,063.80 : 780,095.70 = 380,095.80 : x
  2. Step 2: Convert to fraction form
    520,063.80/780,095.70 = 380,095.80/x
  3. Step 3: Cross multiply
    520,063.80x = 780,095.70 × 380,095.80
  4. Step 4: Simplify right side
    520,063.80x = 296,511,099,168.06
  5. Step 5: Solve for x
    x = 296,511,099,168.06/520,063.80
  6. Step 6: Final answer
    x = 570,143.70

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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.