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Finding the Fourth Proportional to 387,029.50, 580,550.40 and 147,147.06

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Solution

The fourth proportional to 387,029.50, 580,550.40 and 147,147.06 is: 220,722.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,029.50 : 580,550.40 = 147,147.06 : x
  2. Step 2: Convert to fraction form
    387,029.50/580,550.40 = 147,147.06/x
  3. Step 3: Cross multiply
    387,029.50x = 580,550.40 × 147,147.06
  4. Step 4: Simplify right side
    387,029.50x = 85,426,284,541.82
  5. Step 5: Solve for x
    x = 85,426,284,541.82/387,029.50
  6. Step 6: Final answer
    x = 220,722.93

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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.