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Finding the Fourth Proportional to 399,329.92, 551,071.06 and 218,041.30

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Solution

The fourth proportional to 399,329.92, 551,071.06 and 218,041.30 is: 300,894.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,329.92 : 551,071.06 = 218,041.30 : x
  2. Step 2: Convert to fraction form
    399,329.92/551,071.06 = 218,041.30/x
  3. Step 3: Cross multiply
    399,329.92x = 551,071.06 × 218,041.30
  4. Step 4: Simplify right side
    399,329.92x = 120,156,250,314.78
  5. Step 5: Solve for x
    x = 120,156,250,314.78/399,329.92
  6. Step 6: Final answer
    x = 300,894.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.