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Finding the Fourth Proportional to 524,683.70, 787,414.35 and 209,366.90

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Solution

The fourth proportional to 524,683.70, 787,414.35 and 209,366.90 is: 314,205.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,683.70 : 787,414.35 = 209,366.90 : x
  2. Step 2: Convert to fraction form
    524,683.70/787,414.35 = 209,366.90/x
  3. Step 3: Cross multiply
    524,683.70x = 787,414.35 × 209,366.90
  4. Step 4: Simplify right side
    524,683.70x = 164,858,501,475.02
  5. Step 5: Solve for x
    x = 164,858,501,475.02/524,683.70
  6. Step 6: Final answer
    x = 314,205.49

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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.