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Finding the Fourth Proportional to 287,894.11, 430,955.41 and 187,838.86

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Solution

The fourth proportional to 287,894.11, 430,955.41 and 187,838.86 is: 281,180.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,894.11 : 430,955.41 = 187,838.86 : x
  2. Step 2: Convert to fraction form
    287,894.11/430,955.41 = 187,838.86/x
  3. Step 3: Cross multiply
    287,894.11x = 430,955.41 × 187,838.86
  4. Step 4: Simplify right side
    287,894.11x = 80,950,172,925.23
  5. Step 5: Solve for x
    x = 80,950,172,925.23/287,894.11
  6. Step 6: Final answer
    x = 281,180.37

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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.