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Finding the Fourth Proportional to 303,729.40, 455,723.70 and 145,876.60

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Solution

The fourth proportional to 303,729.40, 455,723.70 and 145,876.60 is: 218,877.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,729.40 : 455,723.70 = 145,876.60 : x
  2. Step 2: Convert to fraction form
    303,729.40/455,723.70 = 145,876.60/x
  3. Step 3: Cross multiply
    303,729.40x = 455,723.70 × 145,876.60
  4. Step 4: Simplify right side
    303,729.40x = 66,479,423,895.42
  5. Step 5: Solve for x
    x = 66,479,423,895.42/303,729.40
  6. Step 6: Final answer
    x = 218,877.14

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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.