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Finding the Fourth Proportional to 420,228, 579,914.64 and 229,242.15

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Solution

The fourth proportional to 420,228, 579,914.64 and 229,242.15 is: 316,354.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,228 : 579,914.64 = 229,242.15 : x
  2. Step 2: Convert to fraction form
    420,228/579,914.64 = 229,242.15/x
  3. Step 3: Cross multiply
    420,228x = 579,914.64 × 229,242.15
  4. Step 4: Simplify right side
    420,228x = 132,940,878,890.08
  5. Step 5: Solve for x
    x = 132,940,878,890.08/420,228
  6. Step 6: Final answer
    x = 316,354.17

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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.