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Finding the Fourth Proportional to 470,041.12, 704,911.92 and 154,424.80

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Solution

The fourth proportional to 470,041.12, 704,911.92 and 154,424.80 is: 231,588.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,041.12 : 704,911.92 = 154,424.80 : x
  2. Step 2: Convert to fraction form
    470,041.12/704,911.92 = 154,424.80/x
  3. Step 3: Cross multiply
    470,041.12x = 704,911.92 × 154,424.80
  4. Step 4: Simplify right side
    470,041.12x = 108,855,882,263.62
  5. Step 5: Solve for x
    x = 108,855,882,263.62/470,041.12
  6. Step 6: Final answer
    x = 231,588.00

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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.