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Finding the Fourth Proportional to 362,937.69, 500,710.08 and 209,947.50

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Solution

The fourth proportional to 362,937.69, 500,710.08 and 209,947.50 is: 289,644.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,937.69 : 500,710.08 = 209,947.50 : x
  2. Step 2: Convert to fraction form
    362,937.69/500,710.08 = 209,947.50/x
  3. Step 3: Cross multiply
    362,937.69x = 500,710.08 × 209,947.50
  4. Step 4: Simplify right side
    362,937.69x = 105,122,829,520.80
  5. Step 5: Solve for x
    x = 105,122,829,520.80/362,937.69
  6. Step 6: Final answer
    x = 289,644.29

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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.