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Finding the Fourth Proportional to 468,096.96, 702,011.40 and 152,581.44

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Solution

The fourth proportional to 468,096.96, 702,011.40 and 152,581.44 is: 228,828.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,096.96 : 702,011.40 = 152,581.44 : x
  2. Step 2: Convert to fraction form
    468,096.96/702,011.40 = 152,581.44/x
  3. Step 3: Cross multiply
    468,096.96x = 702,011.40 × 152,581.44
  4. Step 4: Simplify right side
    468,096.96x = 107,113,910,308.42
  5. Step 5: Solve for x
    x = 107,113,910,308.42/468,096.96
  6. Step 6: Final answer
    x = 228,828.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.