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Finding the Fourth Proportional to 420,206.51, 579,889.17 and 229,223.90

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Solution

The fourth proportional to 420,206.51, 579,889.17 and 229,223.90 is: 316,331.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,206.51 : 579,889.17 = 229,223.90 : x
  2. Step 2: Convert to fraction form
    420,206.51/579,889.17 = 229,223.90/x
  3. Step 3: Cross multiply
    420,206.51x = 579,889.17 × 229,223.90
  4. Step 4: Simplify right side
    420,206.51x = 132,924,454,215.72
  5. Step 5: Solve for x
    x = 132,924,454,215.72/420,206.51
  6. Step 6: Final answer
    x = 316,331.26

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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.