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Finding the Fourth Proportional to 509,974.80, 764,962.20 and 506,864.40

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Solution

The fourth proportional to 509,974.80, 764,962.20 and 506,864.40 is: 760,296.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,974.80 : 764,962.20 = 506,864.40 : x
  2. Step 2: Convert to fraction form
    509,974.80/764,962.20 = 506,864.40/x
  3. Step 3: Cross multiply
    509,974.80x = 764,962.20 × 506,864.40
  4. Step 4: Simplify right side
    509,974.80x = 387,732,106,525.68
  5. Step 5: Solve for x
    x = 387,732,106,525.68/509,974.80
  6. Step 6: Final answer
    x = 760,296.60

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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.