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Finding the Fourth Proportional to 368,154.04, 508,045.81 and 204,809.75

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Solution

The fourth proportional to 368,154.04, 508,045.81 and 204,809.75 is: 282,633.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,154.04 : 508,045.81 = 204,809.75 : x
  2. Step 2: Convert to fraction form
    368,154.04/508,045.81 = 204,809.75/x
  3. Step 3: Cross multiply
    368,154.04x = 508,045.81 × 204,809.75
  4. Step 4: Simplify right side
    368,154.04x = 104,052,735,334.65
  5. Step 5: Solve for x
    x = 104,052,735,334.65/368,154.04
  6. Step 6: Final answer
    x = 282,633.69

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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.