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Finding the Fourth Proportional to 380,348.52, 524,878.96 and 208,263.36

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Solution

The fourth proportional to 380,348.52, 524,878.96 and 208,263.36 is: 287,402.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,348.52 : 524,878.96 = 208,263.36 : x
  2. Step 2: Convert to fraction form
    380,348.52/524,878.96 = 208,263.36/x
  3. Step 3: Cross multiply
    380,348.52x = 524,878.96 × 208,263.36
  4. Step 4: Simplify right side
    380,348.52x = 109,313,055,802.91
  5. Step 5: Solve for x
    x = 109,313,055,802.91/380,348.52
  6. Step 6: Final answer
    x = 287,402.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.