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Finding the Fourth Proportional to 312,294.69, 430,963.74 and 169,051.05

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Solution

The fourth proportional to 312,294.69, 430,963.74 and 169,051.05 is: 233,288.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,294.69 : 430,963.74 = 169,051.05 : x
  2. Step 2: Convert to fraction form
    312,294.69/430,963.74 = 169,051.05/x
  3. Step 3: Cross multiply
    312,294.69x = 430,963.74 × 169,051.05
  4. Step 4: Simplify right side
    312,294.69x = 72,854,872,758.93
  5. Step 5: Solve for x
    x = 72,854,872,758.93/312,294.69
  6. Step 6: Final answer
    x = 233,288.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.