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Finding the Fourth Proportional to 785,265.48, 1,178,248.14 and 411,201

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Solution

The fourth proportional to 785,265.48, 1,178,248.14 and 411,201 is: 616,984.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,265.48 : 1,178,248.14 = 411,201 : x
  2. Step 2: Convert to fraction form
    785,265.48/1,178,248.14 = 411,201/x
  3. Step 3: Cross multiply
    785,265.48x = 1,178,248.14 × 411,201
  4. Step 4: Simplify right side
    785,265.48x = 484,496,813,416.14
  5. Step 5: Solve for x
    x = 484,496,813,416.14/785,265.48
  6. Step 6: Final answer
    x = 616,984.73

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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.