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Finding the Fourth Proportional to 312,308.34, 430,985.64 and 169,068.38

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Solution

The fourth proportional to 312,308.34, 430,985.64 and 169,068.38 is: 233,314.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,308.34 : 430,985.64 = 169,068.38 : x
  2. Step 2: Convert to fraction form
    312,308.34/430,985.64 = 169,068.38/x
  3. Step 3: Cross multiply
    312,308.34x = 430,985.64 × 169,068.38
  4. Step 4: Simplify right side
    312,308.34x = 72,866,042,437.14
  5. Step 5: Solve for x
    x = 72,866,042,437.14/312,308.34
  6. Step 6: Final answer
    x = 233,314.43

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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.