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Finding the Fourth Proportional to 289,378.38, 399,209.19 and 187,437.84

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Solution

The fourth proportional to 289,378.38, 399,209.19 and 187,437.84 is: 258,578.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,378.38 : 399,209.19 = 187,437.84 : x
  2. Step 2: Convert to fraction form
    289,378.38/399,209.19 = 187,437.84/x
  3. Step 3: Cross multiply
    289,378.38x = 399,209.19 × 187,437.84
  4. Step 4: Simplify right side
    289,378.38x = 74,826,908,281.75
  5. Step 5: Solve for x
    x = 74,826,908,281.75/289,378.38
  6. Step 6: Final answer
    x = 258,578.09

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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.