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Finding the Fourth Proportional to 389,301.84, 537,979.11 and 280,762.38

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Solution

The fourth proportional to 389,301.84, 537,979.11 and 280,762.38 is: 387,987.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,301.84 : 537,979.11 = 280,762.38 : x
  2. Step 2: Convert to fraction form
    389,301.84/537,979.11 = 280,762.38/x
  3. Step 3: Cross multiply
    389,301.84x = 537,979.11 × 280,762.38
  4. Step 4: Simplify right side
    389,301.84x = 151,044,295,313.88
  5. Step 5: Solve for x
    x = 151,044,295,313.88/389,301.84
  6. Step 6: Final answer
    x = 387,987.62

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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.