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Finding the Fourth Proportional to 470,055.96, 704,934.42 and 154,439.64

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Solution

The fourth proportional to 470,055.96, 704,934.42 and 154,439.64 is: 231,610.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,055.96 : 704,934.42 = 154,439.64 : x
  2. Step 2: Convert to fraction form
    470,055.96/704,934.42 = 154,439.64/x
  3. Step 3: Cross multiply
    470,055.96x = 704,934.42 × 154,439.64
  4. Step 4: Simplify right side
    470,055.96x = 108,869,818,048.41
  5. Step 5: Solve for x
    x = 108,869,818,048.41/470,055.96
  6. Step 6: Final answer
    x = 231,610.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.