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Finding the Fourth Proportional to 785,260.48, 1,178,240.64 and 411,196

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Solution

The fourth proportional to 785,260.48, 1,178,240.64 and 411,196 is: 616,977.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,260.48 : 1,178,240.64 = 411,196 : x
  2. Step 2: Convert to fraction form
    785,260.48/1,178,240.64 = 411,196/x
  3. Step 3: Cross multiply
    785,260.48x = 1,178,240.64 × 411,196
  4. Step 4: Simplify right side
    785,260.48x = 484,487,838,205.44
  5. Step 5: Solve for x
    x = 484,487,838,205.44/785,260.48
  6. Step 6: Final answer
    x = 616,977.23

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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.