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Finding the Fourth Proportional to 509,405.70, 764,108.55 and 341,444.10

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Solution

The fourth proportional to 509,405.70, 764,108.55 and 341,444.10 is: 512,166.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,405.70 : 764,108.55 = 341,444.10 : x
  2. Step 2: Convert to fraction form
    509,405.70/764,108.55 = 341,444.10/x
  3. Step 3: Cross multiply
    509,405.70x = 764,108.55 × 341,444.10
  4. Step 4: Simplify right side
    509,405.70x = 260,900,356,157.06
  5. Step 5: Solve for x
    x = 260,900,356,157.06/509,405.70
  6. Step 6: Final answer
    x = 512,166.15

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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.