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Finding the Fourth Proportional to 524,251.40, 785,858.70 and 208,286.60

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Solution

The fourth proportional to 524,251.40, 785,858.70 and 208,286.60 is: 312,223.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,251.40 : 785,858.70 = 208,286.60 : x
  2. Step 2: Convert to fraction form
    524,251.40/785,858.70 = 208,286.60/x
  3. Step 3: Cross multiply
    524,251.40x = 785,858.70 × 208,286.60
  4. Step 4: Simplify right side
    524,251.40x = 163,683,836,703.42
  5. Step 5: Solve for x
    x = 163,683,836,703.42/524,251.40
  6. Step 6: Final answer
    x = 312,223.94

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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.