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Finding the Fourth Proportional to 509,550.30, 764,325.45 and 478,446.30

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Solution

The fourth proportional to 509,550.30, 764,325.45 and 478,446.30 is: 717,669.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,550.30 : 764,325.45 = 478,446.30 : x
  2. Step 2: Convert to fraction form
    509,550.30/764,325.45 = 478,446.30/x
  3. Step 3: Cross multiply
    509,550.30x = 764,325.45 × 478,446.30
  4. Step 4: Simplify right side
    509,550.30x = 365,688,683,548.34
  5. Step 5: Solve for x
    x = 365,688,683,548.34/509,550.30
  6. Step 6: Final answer
    x = 717,669.45

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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.