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Finding the Fourth Proportional to 420,434.40, 630,524.16 and 154,216.56

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Solution

The fourth proportional to 420,434.40, 630,524.16 and 154,216.56 is: 231,278.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,434.40 : 630,524.16 = 154,216.56 : x
  2. Step 2: Convert to fraction form
    420,434.40/630,524.16 = 154,216.56/x
  3. Step 3: Cross multiply
    420,434.40x = 630,524.16 × 154,216.56
  4. Step 4: Simplify right side
    420,434.40x = 97,237,266,952.09
  5. Step 5: Solve for x
    x = 97,237,266,952.09/420,434.40
  6. Step 6: Final answer
    x = 231,278.09

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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.