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Finding the Fourth Proportional to 470,049.64, 704,809.50 and 154,421.80

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Solution

The fourth proportional to 470,049.64, 704,809.50 and 154,421.80 is: 231,545.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,049.64 : 704,809.50 = 154,421.80 : x
  2. Step 2: Convert to fraction form
    470,049.64/704,809.50 = 154,421.80/x
  3. Step 3: Cross multiply
    470,049.64x = 704,809.50 × 154,421.80
  4. Step 4: Simplify right side
    470,049.64x = 108,837,951,647.10
  5. Step 5: Solve for x
    x = 108,837,951,647.10/470,049.64
  6. Step 6: Final answer
    x = 231,545.65

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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.