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Finding the Fourth Proportional to 387,988.38, 535,760.73 and 286,190.82

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Solution

The fourth proportional to 387,988.38, 535,760.73 and 286,190.82 is: 395,191.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,988.38 : 535,760.73 = 286,190.82 : x
  2. Step 2: Convert to fraction form
    387,988.38/535,760.73 = 286,190.82/x
  3. Step 3: Cross multiply
    387,988.38x = 535,760.73 × 286,190.82
  4. Step 4: Simplify right side
    387,988.38x = 153,329,802,642.50
  5. Step 5: Solve for x
    x = 153,329,802,642.50/387,988.38
  6. Step 6: Final answer
    x = 395,191.74

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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.