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Finding the Fourth Proportional to 409,583.08, 614,282.46 and 146,927.08

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Solution

The fourth proportional to 409,583.08, 614,282.46 and 146,927.08 is: 220,357.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,583.08 : 614,282.46 = 146,927.08 : x
  2. Step 2: Convert to fraction form
    409,583.08/614,282.46 = 146,927.08/x
  3. Step 3: Cross multiply
    409,583.08x = 614,282.46 × 146,927.08
  4. Step 4: Simplify right side
    409,583.08x = 90,254,728,143.02
  5. Step 5: Solve for x
    x = 90,254,728,143.02/409,583.08
  6. Step 6: Final answer
    x = 220,357.56

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Why These Related Problems?

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