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Finding the Fourth Proportional to 614,917.60, 922,376.40 and 509,941.60

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Solution

The fourth proportional to 614,917.60, 922,376.40 and 509,941.60 is: 764,912.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,917.60 : 922,376.40 = 509,941.60 : x
  2. Step 2: Convert to fraction form
    614,917.60/922,376.40 = 509,941.60/x
  3. Step 3: Cross multiply
    614,917.60x = 922,376.40 × 509,941.60
  4. Step 4: Simplify right side
    614,917.60x = 470,358,097,218.24
  5. Step 5: Solve for x
    x = 470,358,097,218.24/614,917.60
  6. Step 6: Final answer
    x = 764,912.40

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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.