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Finding the Fourth Proportional to 470,753.51, 649,632.17 and 255,898.98

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Solution

The fourth proportional to 470,753.51, 649,632.17 and 255,898.98 is: 353,136.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,753.51 : 649,632.17 = 255,898.98 : x
  2. Step 2: Convert to fraction form
    470,753.51/649,632.17 = 255,898.98/x
  3. Step 3: Cross multiply
    470,753.51x = 649,632.17 × 255,898.98
  4. Step 4: Simplify right side
    470,753.51x = 166,240,210,317.93
  5. Step 5: Solve for x
    x = 166,240,210,317.93/470,753.51
  6. Step 6: Final answer
    x = 353,136.43

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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.