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Finding the Fourth Proportional to 538,851.69, 807,839.19 and 201,703.50

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Solution

The fourth proportional to 538,851.69, 807,839.19 and 201,703.50 is: 302,391.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,851.69 : 807,839.19 = 201,703.50 : x
  2. Step 2: Convert to fraction form
    538,851.69/807,839.19 = 201,703.50/x
  3. Step 3: Cross multiply
    538,851.69x = 807,839.19 × 201,703.50
  4. Step 4: Simplify right side
    538,851.69x = 162,943,992,060.17
  5. Step 5: Solve for x
    x = 162,943,992,060.17/538,851.69
  6. Step 6: Final answer
    x = 302,391.17

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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.