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Finding the Fourth Proportional to 412,328.30, 617,963.91 and 358,797.83

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Solution

The fourth proportional to 412,328.30, 617,963.91 and 358,797.83 is: 537,736.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,328.30 : 617,963.91 = 358,797.83 : x
  2. Step 2: Convert to fraction form
    412,328.30/617,963.91 = 358,797.83/x
  3. Step 3: Cross multiply
    412,328.30x = 617,963.91 × 358,797.83
  4. Step 4: Simplify right side
    412,328.30x = 221,724,106,836.50
  5. Step 5: Solve for x
    x = 221,724,106,836.50/412,328.30
  6. Step 6: Final answer
    x = 537,736.82

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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.