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Finding the Fourth Proportional to 351,457.92, 527,712.96 and 304,219.20

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Solution

The fourth proportional to 351,457.92, 527,712.96 and 304,219.20 is: 456,784.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,457.92 : 527,712.96 = 304,219.20 : x
  2. Step 2: Convert to fraction form
    351,457.92/527,712.96 = 304,219.20/x
  3. Step 3: Cross multiply
    351,457.92x = 527,712.96 × 304,219.20
  4. Step 4: Simplify right side
    351,457.92x = 160,540,414,520.83
  5. Step 5: Solve for x
    x = 160,540,414,520.83/351,457.92
  6. Step 6: Final answer
    x = 456,784.17

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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.