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Finding the Fourth Proportional to 509,056.68, 763,214.80 and 239,045.69

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Solution

The fourth proportional to 509,056.68, 763,214.80 and 239,045.69 is: 358,394.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,056.68 : 763,214.80 = 239,045.69 : x
  2. Step 2: Convert to fraction form
    509,056.68/763,214.80 = 239,045.69/x
  3. Step 3: Cross multiply
    509,056.68x = 763,214.80 × 239,045.69
  4. Step 4: Simplify right side
    509,056.68x = 182,443,204,668.14
  5. Step 5: Solve for x
    x = 182,443,204,668.14/509,056.68
  6. Step 6: Final answer
    x = 358,394.68

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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.