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Finding the Fourth Proportional to 409,597.08, 614,303.46 and 146,941.08

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Solution

The fourth proportional to 409,597.08, 614,303.46 and 146,941.08 is: 220,378.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,597.08 : 614,303.46 = 146,941.08 : x
  2. Step 2: Convert to fraction form
    409,597.08/614,303.46 = 146,941.08/x
  3. Step 3: Cross multiply
    409,597.08x = 614,303.46 × 146,941.08
  4. Step 4: Simplify right side
    409,597.08x = 90,266,413,860.14
  5. Step 5: Solve for x
    x = 90,266,413,860.14/409,597.08
  6. Step 6: Final answer
    x = 220,378.56

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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.