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Finding the Fourth Proportional to 547,954.14, 821,788.65 and 232,248.54

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Solution

The fourth proportional to 547,954.14, 821,788.65 and 232,248.54 is: 348,312.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,954.14 : 821,788.65 = 232,248.54 : x
  2. Step 2: Convert to fraction form
    547,954.14/821,788.65 = 232,248.54/x
  3. Step 3: Cross multiply
    547,954.14x = 821,788.65 × 232,248.54
  4. Step 4: Simplify right side
    547,954.14x = 190,859,214,151.07
  5. Step 5: Solve for x
    x = 190,859,214,151.07/547,954.14
  6. Step 6: Final answer
    x = 348,312.39

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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.