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Finding the Fourth Proportional to 470,666.97, 649,516.50 and 255,808.31

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Solution

The fourth proportional to 470,666.97, 649,516.50 and 255,808.31 is: 353,013.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,666.97 : 649,516.50 = 255,808.31 : x
  2. Step 2: Convert to fraction form
    470,666.97/649,516.50 = 255,808.31/x
  3. Step 3: Cross multiply
    470,666.97x = 649,516.50 × 255,808.31
  4. Step 4: Simplify right side
    470,666.97x = 166,151,714,934.53
  5. Step 5: Solve for x
    x = 166,151,714,934.53/470,666.97
  6. Step 6: Final answer
    x = 353,013.33

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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.