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Finding the Fourth Proportional to 287,681.51, 431,668.02 and 191,684.34

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Solution

The fourth proportional to 287,681.51, 431,668.02 and 191,684.34 is: 287,623.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,681.51 : 431,668.02 = 191,684.34 : x
  2. Step 2: Convert to fraction form
    287,681.51/431,668.02 = 191,684.34/x
  3. Step 3: Cross multiply
    287,681.51x = 431,668.02 × 191,684.34
  4. Step 4: Simplify right side
    287,681.51x = 82,744,000,231.62
  5. Step 5: Solve for x
    x = 82,744,000,231.62/287,681.51
  6. Step 6: Final answer
    x = 287,623.63

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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.