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Finding the Fourth Proportional to 456,051.66, 684,225.03 and 219,363.42

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Solution

The fourth proportional to 456,051.66, 684,225.03 and 219,363.42 is: 329,116.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,051.66 : 684,225.03 = 219,363.42 : x
  2. Step 2: Convert to fraction form
    456,051.66/684,225.03 = 219,363.42/x
  3. Step 3: Cross multiply
    456,051.66x = 684,225.03 × 219,363.42
  4. Step 4: Simplify right side
    456,051.66x = 150,093,942,630.40
  5. Step 5: Solve for x
    x = 150,093,942,630.40/456,051.66
  6. Step 6: Final answer
    x = 329,116.10

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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.