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Finding the Fourth Proportional to 409,426.22, 614,329.56 and 156,623.16

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Solution

The fourth proportional to 409,426.22, 614,329.56 and 156,623.16 is: 235,007.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,426.22 : 614,329.56 = 156,623.16 : x
  2. Step 2: Convert to fraction form
    409,426.22/614,329.56 = 156,623.16/x
  3. Step 3: Cross multiply
    409,426.22x = 614,329.56 × 156,623.16
  4. Step 4: Simplify right side
    409,426.22x = 96,218,236,968.61
  5. Step 5: Solve for x
    x = 96,218,236,968.61/409,426.22
  6. Step 6: Final answer
    x = 235,007.51

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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.