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Finding the Fourth Proportional to 294,864.08, 406,897.08 and 167,522

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Solution

The fourth proportional to 294,864.08, 406,897.08 and 167,522 is: 231,171.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,864.08 : 406,897.08 = 167,522 : x
  2. Step 2: Convert to fraction form
    294,864.08/406,897.08 = 167,522/x
  3. Step 3: Cross multiply
    294,864.08x = 406,897.08 × 167,522
  4. Step 4: Simplify right side
    294,864.08x = 68,164,212,635.76
  5. Step 5: Solve for x
    x = 68,164,212,635.76/294,864.08
  6. Step 6: Final answer
    x = 231,171.64

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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.