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Finding the Fourth Proportional to 229,508.70, 341,956.26 and 216,616.84

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Solution

The fourth proportional to 229,508.70, 341,956.26 and 216,616.84 is: 322,748.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,508.70 : 341,956.26 = 216,616.84 : x
  2. Step 2: Convert to fraction form
    229,508.70/341,956.26 = 216,616.84/x
  3. Step 3: Cross multiply
    229,508.70x = 341,956.26 × 216,616.84
  4. Step 4: Simplify right side
    229,508.70x = 74,073,484,459.42
  5. Step 5: Solve for x
    x = 74,073,484,459.42/229,508.70
  6. Step 6: Final answer
    x = 322,748.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.