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Finding the Fourth Proportional to 362,897.52, 500,758.56 and 209,938.56

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Solution

The fourth proportional to 362,897.52, 500,758.56 and 209,938.56 is: 289,692.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,897.52 : 500,758.56 = 209,938.56 : x
  2. Step 2: Convert to fraction form
    362,897.52/500,758.56 = 209,938.56/x
  3. Step 3: Cross multiply
    362,897.52x = 500,758.56 × 209,938.56
  4. Step 4: Simplify right side
    362,897.52x = 105,128,530,994.07
  5. Step 5: Solve for x
    x = 105,128,530,994.07/362,897.52
  6. Step 6: Final answer
    x = 289,692.06

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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.