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Finding the Fourth Proportional to 287,685.81, 431,674.50 and 191,688.66

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Solution

The fourth proportional to 287,685.81, 431,674.50 and 191,688.66 is: 287,630.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,685.81 : 431,674.50 = 191,688.66 : x
  2. Step 2: Convert to fraction form
    287,685.81/431,674.50 = 191,688.66/x
  3. Step 3: Cross multiply
    287,685.81x = 431,674.50 × 191,688.66
  4. Step 4: Simplify right side
    287,685.81x = 82,747,106,461.17
  5. Step 5: Solve for x
    x = 82,747,106,461.17/287,685.81
  6. Step 6: Final answer
    x = 287,630.13

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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.