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Finding the Fourth Proportional to 294,615.38, 406,572 and 167,293.64

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Solution

The fourth proportional to 294,615.38, 406,572 and 167,293.64 is: 230,866.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,615.38 : 406,572 = 167,293.64 : x
  2. Step 2: Convert to fraction form
    294,615.38/406,572 = 167,293.64/x
  3. Step 3: Cross multiply
    294,615.38x = 406,572 × 167,293.64
  4. Step 4: Simplify right side
    294,615.38x = 68,016,909,802.08
  5. Step 5: Solve for x
    x = 68,016,909,802.08/294,615.38
  6. Step 6: Final answer
    x = 230,866.80

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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.