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Finding the Fourth Proportional to 411,386.70, 618,116.85 and 261,698.70

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Solution

The fourth proportional to 411,386.70, 618,116.85 and 261,698.70 is: 393,207.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,386.70 : 618,116.85 = 261,698.70 : x
  2. Step 2: Convert to fraction form
    411,386.70/618,116.85 = 261,698.70/x
  3. Step 3: Cross multiply
    411,386.70x = 618,116.85 × 261,698.70
  4. Step 4: Simplify right side
    411,386.70x = 161,760,376,093.10
  5. Step 5: Solve for x
    x = 161,760,376,093.10/411,386.70
  6. Step 6: Final answer
    x = 393,207.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.