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Finding the Fourth Proportional to 470,622.54, 649,464.17 and 255,762.65

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Solution

The fourth proportional to 470,622.54, 649,464.17 and 255,762.65 is: 352,955.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,622.54 : 649,464.17 = 255,762.65 : x
  2. Step 2: Convert to fraction form
    470,622.54/649,464.17 = 255,762.65/x
  3. Step 3: Cross multiply
    470,622.54x = 649,464.17 × 255,762.65
  4. Step 4: Simplify right side
    470,622.54x = 166,108,677,199.25
  5. Step 5: Solve for x
    x = 166,108,677,199.25/470,622.54
  6. Step 6: Final answer
    x = 352,955.21

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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.