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Finding the Fourth Proportional to 294,876.78, 406,929.96 and 160,740.78

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Solution

The fourth proportional to 294,876.78, 406,929.96 and 160,740.78 is: 221,822.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,876.78 : 406,929.96 = 160,740.78 : x
  2. Step 2: Convert to fraction form
    294,876.78/406,929.96 = 160,740.78/x
  3. Step 3: Cross multiply
    294,876.78x = 406,929.96 × 160,740.78
  4. Step 4: Simplify right side
    294,876.78x = 65,410,239,175.77
  5. Step 5: Solve for x
    x = 65,410,239,175.77/294,876.78
  6. Step 6: Final answer
    x = 221,822.28

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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.