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Finding the Fourth Proportional to 312,006.48, 430,567.32 and 168,766.08

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Solution

The fourth proportional to 312,006.48, 430,567.32 and 168,766.08 is: 232,896.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,006.48 : 430,567.32 = 168,766.08 : x
  2. Step 2: Convert to fraction form
    312,006.48/430,567.32 = 168,766.08/x
  3. Step 3: Cross multiply
    312,006.48x = 430,567.32 × 168,766.08
  4. Step 4: Simplify right side
    312,006.48x = 72,665,158,772.51
  5. Step 5: Solve for x
    x = 72,665,158,772.51/312,006.48
  6. Step 6: Final answer
    x = 232,896.31

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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.