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Finding the Fourth Proportional to 420,191.84, 579,868.44 and 229,206.08

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Solution

The fourth proportional to 420,191.84, 579,868.44 and 229,206.08 is: 316,306.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,191.84 : 579,868.44 = 229,206.08 : x
  2. Step 2: Convert to fraction form
    420,191.84/579,868.44 = 229,206.08/x
  3. Step 3: Cross multiply
    420,191.84x = 579,868.44 × 229,206.08
  4. Step 4: Simplify right side
    420,191.84x = 132,909,372,048.12
  5. Step 5: Solve for x
    x = 132,909,372,048.12/420,191.84
  6. Step 6: Final answer
    x = 316,306.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.