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Finding the Fourth Proportional to 470,658.82, 649,509.24 and 255,798.88

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Solution

The fourth proportional to 470,658.82, 649,509.24 and 255,798.88 is: 353,002.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,658.82 : 649,509.24 = 255,798.88 : x
  2. Step 2: Convert to fraction form
    470,658.82/649,509.24 = 255,798.88/x
  3. Step 3: Cross multiply
    470,658.82x = 649,509.24 × 255,798.88
  4. Step 4: Simplify right side
    470,658.82x = 166,143,736,141.65
  5. Step 5: Solve for x
    x = 166,143,736,141.65/470,658.82
  6. Step 6: Final answer
    x = 353,002.49

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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.