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Finding the Fourth Proportional to 509,620.40, 764,430.60 and 478,127.60

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Solution

The fourth proportional to 509,620.40, 764,430.60 and 478,127.60 is: 717,191.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,620.40 : 764,430.60 = 478,127.60 : x
  2. Step 2: Convert to fraction form
    509,620.40/764,430.60 = 478,127.60/x
  3. Step 3: Cross multiply
    509,620.40x = 764,430.60 × 478,127.60
  4. Step 4: Simplify right side
    509,620.40x = 365,495,368,144.56
  5. Step 5: Solve for x
    x = 365,495,368,144.56/509,620.40
  6. Step 6: Final answer
    x = 717,191.40

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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.