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Finding the Fourth Proportional to 362,298.37, 499,994.38 and 209,364.65

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Solution

The fourth proportional to 362,298.37, 499,994.38 and 209,364.65 is: 288,936.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,298.37 : 499,994.38 = 209,364.65 : x
  2. Step 2: Convert to fraction form
    362,298.37/499,994.38 = 209,364.65/x
  3. Step 3: Cross multiply
    362,298.37x = 499,994.38 × 209,364.65
  4. Step 4: Simplify right side
    362,298.37x = 104,681,144,823.87
  5. Step 5: Solve for x
    x = 104,681,144,823.87/362,298.37
  6. Step 6: Final answer
    x = 288,936.29

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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.