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Finding the Fourth Proportional to 380,506.29, 525,078.38 and 208,415.36

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Solution

The fourth proportional to 380,506.29, 525,078.38 and 208,415.36 is: 287,602.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,506.29 : 525,078.38 = 208,415.36 : x
  2. Step 2: Convert to fraction form
    380,506.29/525,078.38 = 208,415.36/x
  3. Step 3: Cross multiply
    380,506.29x = 525,078.38 × 208,415.36
  4. Step 4: Simplify right side
    380,506.29x = 109,434,395,928.45
  5. Step 5: Solve for x
    x = 109,434,395,928.45/380,506.29
  6. Step 6: Final answer
    x = 287,602.07

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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.