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Finding the Fourth Proportional to 368,004.97, 507,849.67 and 204,663.76

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Solution

The fourth proportional to 368,004.97, 507,849.67 and 204,663.76 is: 282,437.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,004.97 : 507,849.67 = 204,663.76 : x
  2. Step 2: Convert to fraction form
    368,004.97/507,849.67 = 204,663.76/x
  3. Step 3: Cross multiply
    368,004.97x = 507,849.67 × 204,663.76
  4. Step 4: Simplify right side
    368,004.97x = 103,938,423,668.59
  5. Step 5: Solve for x
    x = 103,938,423,668.59/368,004.97
  6. Step 6: Final answer
    x = 282,437.55

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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.