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Finding the Fourth Proportional to 294,865.78, 406,914.78 and 160,729.78

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Solution

The fourth proportional to 294,865.78, 406,914.78 and 160,729.78 is: 221,807.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,865.78 : 406,914.78 = 160,729.78 : x
  2. Step 2: Convert to fraction form
    294,865.78/406,914.78 = 160,729.78/x
  3. Step 3: Cross multiply
    294,865.78x = 406,914.78 × 160,729.78
  4. Step 4: Simplify right side
    294,865.78x = 65,403,323,068.15
  5. Step 5: Solve for x
    x = 65,403,323,068.15/294,865.78
  6. Step 6: Final answer
    x = 221,807.10

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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.