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Finding the Fourth Proportional to 519,236, 716,545.72 and 280,772

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Solution

The fourth proportional to 519,236, 716,545.72 and 280,772 is: 387,465.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,236 : 716,545.72 = 280,772 : x
  2. Step 2: Convert to fraction form
    519,236/716,545.72 = 280,772/x
  3. Step 3: Cross multiply
    519,236x = 716,545.72 × 280,772
  4. Step 4: Simplify right side
    519,236x = 201,185,974,895.84
  5. Step 5: Solve for x
    x = 201,185,974,895.84/519,236
  6. Step 6: Final answer
    x = 387,465.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.