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Finding the Fourth Proportional to 287,686.81, 431,676 and 191,689.66

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Solution

The fourth proportional to 287,686.81, 431,676 and 191,689.66 is: 287,631.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,686.81 : 431,676 = 191,689.66 : x
  2. Step 2: Convert to fraction form
    287,686.81/431,676 = 191,689.66/x
  3. Step 3: Cross multiply
    287,686.81x = 431,676 × 191,689.66
  4. Step 4: Simplify right side
    287,686.81x = 82,747,825,670.16
  5. Step 5: Solve for x
    x = 82,747,825,670.16/287,686.81
  6. Step 6: Final answer
    x = 287,631.63

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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.