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Finding the Fourth Proportional to 410,056.40, 613,918.20 and 363,400.40

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Solution

The fourth proportional to 410,056.40, 613,918.20 and 363,400.40 is: 544,066.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,056.40 : 613,918.20 = 363,400.40 : x
  2. Step 2: Convert to fraction form
    410,056.40/613,918.20 = 363,400.40/x
  3. Step 3: Cross multiply
    410,056.40x = 613,918.20 × 363,400.40
  4. Step 4: Simplify right side
    410,056.40x = 223,098,119,447.28
  5. Step 5: Solve for x
    x = 223,098,119,447.28/410,056.40
  6. Step 6: Final answer
    x = 544,066.91

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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.