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Finding the Fourth Proportional to 470,194.42, 649,311.15 and 327,345.07

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Solution

The fourth proportional to 470,194.42, 649,311.15 and 327,345.07 is: 452,044.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,194.42 : 649,311.15 = 327,345.07 : x
  2. Step 2: Convert to fraction form
    470,194.42/649,311.15 = 327,345.07/x
  3. Step 3: Cross multiply
    470,194.42x = 649,311.15 × 327,345.07
  4. Step 4: Simplify right side
    470,194.42x = 212,548,803,848.53
  5. Step 5: Solve for x
    x = 212,548,803,848.53/470,194.42
  6. Step 6: Final answer
    x = 452,044.51

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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.