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Finding the Fourth Proportional to 422,407.30, 632,444.55 and 329,095.30

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Solution

The fourth proportional to 422,407.30, 632,444.55 and 329,095.30 is: 492,734.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,407.30 : 632,444.55 = 329,095.30 : x
  2. Step 2: Convert to fraction form
    422,407.30/632,444.55 = 329,095.30/x
  3. Step 3: Cross multiply
    422,407.30x = 632,444.55 × 329,095.30
  4. Step 4: Simplify right side
    422,407.30x = 208,134,528,915.62
  5. Step 5: Solve for x
    x = 208,134,528,915.62/422,407.30
  6. Step 6: Final answer
    x = 492,734.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.