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Finding the Fourth Proportional to 462,566.25, 690,117.66 and 412,079.36

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Solution

The fourth proportional to 462,566.25, 690,117.66 and 412,079.36 is: 614,794.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,566.25 : 690,117.66 = 412,079.36 : x
  2. Step 2: Convert to fraction form
    462,566.25/690,117.66 = 412,079.36/x
  3. Step 3: Cross multiply
    462,566.25x = 690,117.66 × 412,079.36
  4. Step 4: Simplify right side
    462,566.25x = 284,383,240,206.91
  5. Step 5: Solve for x
    x = 284,383,240,206.91/462,566.25
  6. Step 6: Final answer
    x = 614,794.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.