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Finding the Fourth Proportional to 411,488.92, 617,229.06 and 312,258.70

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Solution

The fourth proportional to 411,488.92, 617,229.06 and 312,258.70 is: 468,384.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,488.92 : 617,229.06 = 312,258.70 : x
  2. Step 2: Convert to fraction form
    411,488.92/617,229.06 = 312,258.70/x
  3. Step 3: Cross multiply
    411,488.92x = 617,229.06 × 312,258.70
  4. Step 4: Simplify right side
    411,488.92x = 192,735,143,877.82
  5. Step 5: Solve for x
    x = 192,735,143,877.82/411,488.92
  6. Step 6: Final answer
    x = 468,384.77

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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.