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Finding the Fourth Proportional to 509,808.80, 764,713.20 and 433,701.20

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Solution

The fourth proportional to 509,808.80, 764,713.20 and 433,701.20 is: 650,551.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,808.80 : 764,713.20 = 433,701.20 : x
  2. Step 2: Convert to fraction form
    509,808.80/764,713.20 = 433,701.20/x
  3. Step 3: Cross multiply
    509,808.80x = 764,713.20 × 433,701.20
  4. Step 4: Simplify right side
    509,808.80x = 331,657,032,495.84
  5. Step 5: Solve for x
    x = 331,657,032,495.84/509,808.80
  6. Step 6: Final answer
    x = 650,551.80

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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.